264731040 has 144 divisors (see below), whose sum is σ = 1032490368. Its totient is φ = 60507648.

The previous prime is 264731023. The next prime is 264731057. The reversal of 264731040 is 40137462.

264731040 is a `hidden beast` number, since 2 + 647 + 3 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (264731023) and next prime (264731057).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 264730995 and 264731013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3052 + ... + 23211.

It is an arithmetic number, because the mean of its divisors is an integer number (7170072).

Almost surely, 2^264731040 is an apocalyptic number.

264731040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516245184).

264731040 is an abundant number, since it is smaller than the sum of its proper divisors (767759328).

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

264731040 is a wasteful number, since it uses less digits than its factorization.

264731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26291 (or 26280 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 264731040 is about 16270.5574581819. The cubic root of 264731040 is about 642.0984505612.

The spelling of 264731040 in words is "two hundred sixty-four million, seven hundred thirty-one thousand, forty".