396071520 has 96 divisors (see below), whose sum is σ = 1343617632. Its totient is φ = 97492992.

The previous prime is 396071513. The next prime is 396071527. The reversal of 396071520 is 25170693.

It is an interprime number because it is at equal distance from previous prime (396071513) and next prime (396071527).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×396071520² = 313745297910220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396071527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25497 + ... + 37976.

It is an arithmetic number, because the mean of its divisors is an integer number (13996017).

Almost surely, 2^396071520 is an apocalyptic number.

396071520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396071520 is an abundant number, since it is smaller than the sum of its proper divisors (947546112).

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

396071520 is a wasteful number, since it uses less digits than its factorization.

396071520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63504 (or 63496 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 396071520 is about 19901.5456686158. The cubic root of 396071520 is about 734.3862524185.

The spelling of 396071520 in words is "three hundred ninety-six million, seventy-one thousand, five hundred twenty".