396929475072 has 480 divisors, whose sum is σ = 1300287276288. Its totient is φ = 115646496768.

The previous prime is 396929475071. The next prime is 396929475073. The reversal of 396929475072 is 270574929693.

396929475072 is a `hidden beast` number, since 3 + 9 + 6 + 92 + 9 + 475 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (396929475071) and next prime (396929475073).

It is not an unprimeable number, because it can be changed into a prime (396929475071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141911178 + ... + 141913974.

Almost surely, 2^396929475072 is an apocalyptic number.

396929475072 is a gapful number since it is divisible by the number (32) 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 396929475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650143638144).

396929475072 is an abundant number, since it is smaller than the sum of its proper divisors (903357801216).

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

396929475072 is a wasteful number, since it uses less digits than its factorization.

396929475072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 396929475072 in words is "three hundred ninety-six billion, nine hundred twenty-nine million, four hundred seventy-five thousand, seventy-two".