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464040840 = 233517227471
BaseRepresentation
bin11011101010001…
…011001110001000
31012100011201100210
4123222023032020
51422243301330
6114014001120
714333165514
oct3352131610
91170151323
10464040840
11218a3682a
1210b4a61a0
13751a48a3
14458b5144
152ab138b0
hex1ba8b388

464040840 has 64 divisors (see below), whose sum is σ = 1474018560. Its totient is φ = 116464640.

The previous prime is 464040839. The next prime is 464040859. The reversal of 464040840 is 48040464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 464040798 and 464040807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111696 + ... + 115775.

It is an arithmetic number, because the mean of its divisors is an integer number (23031540).

Almost surely, 2464040840 is an apocalyptic number.

464040840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464040840 is an abundant number, since it is smaller than the sum of its proper divisors (1009977720).

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

464040840 is a wasteful number, since it uses less digits than its factorization.

464040840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227502 (or 227498 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 464040840 is about 21541.6071823808. The cubic root of 464040840 is about 774.1980410514.

The spelling of 464040840 in words is "four hundred sixty-four million, forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 227471 454942 682413 909884 1137355 1364826 1819768 2274710 2729652 3412065 3867007 4549420 5459304 6824130 7734014 9098840 11601021 13648260 15468028 19335035 23202042 27296520 30936056 38670070 46404084 58005105 77340140 92808168 116010210 154680280 232020420 464040840