264351520 has 48 divisors (see below), whose sum is σ = 625597560. Its totient is φ = 105560064.

The previous prime is 264351517. The next prime is 264351523. The reversal of 264351520 is 25153462.

264351520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264351517) and next prime (264351523).

It can be written as a sum of positive squares in 4 ways, for example, as 240498064 + 23853456 = 15508^2 + 4884^2 .

It is a super-2 number, since 2×264351520² = 139763452252620800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264351523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131644 + ... + 133636.

Almost surely, 2^264351520 is an apocalyptic number.

264351520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264351520 is an abundant number, since it is smaller than the sum of its proper divisors (361246040).

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

264351520 is a wasteful number, since it uses less digits than its factorization.

264351520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 264351520 is about 16258.8904910513. The cubic root of 264351520 is about 641.7914650911.

The spelling of 264351520 in words is "two hundred sixty-four million, three hundred fifty-one thousand, five hundred twenty".