264728520 has 384 divisors, whose sum is σ = 1075334400. Its totient is φ = 56733696.

The previous prime is 264728509. The next prime is 264728531. The reversal of 264728520 is 25827462.

264728520 is a `hidden beast` number, since 2 + 64 + 72 + 8 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (264728509) and next prime (264728531).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2729112 + ... + 2729208.

It is an arithmetic number, because the mean of its divisors is an integer number (2800350).

Almost surely, 2^264728520 is an apocalyptic number.

264728520 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 264728520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537667200).

264728520 is an abundant number, since it is smaller than the sum of its proper divisors (810605880).

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

264728520 is a wasteful number, since it uses less digits than its factorization.

264728520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 264728520 is about 16270.4800175041. The cubic root of 264728520 is about 642.0964131559.

The spelling of 264728520 in words is "two hundred sixty-four million, seven hundred twenty-eight thousand, five hundred twenty".