399376512 has 96 divisors (see below), whose sum is σ = 1216909980. Its totient is φ = 125288448.

The previous prime is 399376507. The next prime is 399376547. The reversal of 399376512 is 215673993.

It can be written as a sum of positive squares in 2 ways, for example, as 388247616 + 11128896 = 19704^2 + 3336^2 .

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

It is a super-2 number, since 2×399376512² = 319003196674572288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9388 + ... + 29780.

Almost surely, 2^399376512 is an apocalyptic number.

399376512 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 399376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608454990).

399376512 is an abundant number, since it is smaller than the sum of its proper divisors (817533468).

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

399376512 is a wasteful number, since it uses less digits than its factorization.

399376512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20430 (or 20415 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 399376512 is about 19984.4067212414. The cubic root of 399376512 is about 736.4232757449.

The spelling of 399376512 in words is "three hundred ninety-nine million, three hundred seventy-six thousand, five hundred twelve".