396411312 has 80 divisors (see below), whose sum is σ = 1121713920. Its totient is φ = 119635200.

The previous prime is 396411311. The next prime is 396411313. The reversal of 396411312 is 213114693.

It is an interprime number because it is at equal distance from previous prime (396411311) and next prime (396411313).

It is a super-2 number, since 2×396411312² = 314283856563122688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 396411312.

It is not an unprimeable number, because it can be changed into a prime (396411311) 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, 140637 + ... + 143427.

It is an arithmetic number, because the mean of its divisors is an integer number (14021424).

Almost surely, 2^396411312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560856960).

396411312 is an abundant number, since it is smaller than the sum of its proper divisors (725302608).

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

396411312 is a wasteful number, since it uses less digits than its factorization.

396411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3076 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 396411312 is about 19910.0806628200. The cubic root of 396411312 is about 734.5962037654.

The spelling of 396411312 in words is "three hundred ninety-six million, four hundred eleven thousand, three hundred twelve".