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490645440 = 26325170363
BaseRepresentation
bin11101001111101…
…010011111000000
31021012020101000100
4131033222133000
52001101123230
6120404122400
715105263115
oct3517523700
91235211010
10490645440
11231a581aa
12118396400
137a85b25c
144923c90c
152d11b660
hex1d3ea7c0

490645440 has 84 divisors (see below), whose sum is σ = 1687625784. Its totient is φ = 130838016.

The previous prime is 490645439. The next prime is 490645447. The reversal of 490645440 is 44546094.

490645440 is a `hidden beast` number, since 4 + 9 + 0 + 645 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 490645395 and 490645404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490645447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82302 + ... + 88061.

Almost surely, 2490645440 is an apocalyptic number.

490645440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490645440 is an abundant number, since it is smaller than the sum of its proper divisors (1196980344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

490645440 is a wasteful number, since it uses less digits than its factorization.

490645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170386 (or 170373 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 490645440 is about 22150.5178269042. The cubic root of 490645440 is about 788.7195194013.

The spelling of 490645440 in words is "four hundred ninety million, six hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 170363 340726 511089 681452 851815 1022178 1362904 1533267 1703630 2044356 2555445 2725808 3066534 3407260 4088712 5110890 5451616 6133068 6814520 7666335 8177424 10221780 10903232 12266136 13629040 15332670 16354848 20443560 24532272 27258080 30665340 32709696 40887120 49064544 54516160 61330680 81774240 98129088 122661360 163548480 245322720 490645440