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490466400 = 25352204361
BaseRepresentation
bin11101001110111…
…110110001100000
31021011220021102020
4131032332301200
52001024411100
6120400221440
715103616124
oct3516766140
91234807366
10490466400
11231945736
1211830a880
137a7c7908
14491d3584
152d0d35a0
hex1d3bec60

490466400 has 72 divisors (see below), whose sum is σ = 1596475944. Its totient is φ = 130790400.

The previous prime is 490466387. The next prime is 490466401. The reversal of 490466400 is 4664094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490466401) 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, 99781 + ... + 104580.

It is an arithmetic number, because the mean of its divisors is an integer number (22173277).

Almost surely, 2490466400 is an apocalyptic number.

490466400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490466400 is an abundant number, since it is smaller than the sum of its proper divisors (1106009544).

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

490466400 is a wasteful number, since it uses less digits than its factorization.

490466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204384 (or 204371 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 490466400 is about 22146.4760176422. The cubic root of 490466400 is about 788.6235712813.

The spelling of 490466400 in words is "four hundred ninety million, four hundred sixty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 204361 408722 613083 817444 1021805 1226166 1634888 2043610 2452332 3065415 3269776 4087220 4904664 5109025 6130830 6539552 8174440 9809328 10218050 12261660 15327075 16348880 19618656 20436100 24523320 30654150 32697760 40872200 49046640 61308300 81744400 98093280 122616600 163488800 245233200 490466400