399971376 has 180 divisors, whose sum is σ = 1359941232. Its totient is φ = 107476992.

The previous prime is 399971371. The next prime is 399971417. The reversal of 399971376 is 673179993.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (399971371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290626 + ... + 291998.

Almost surely, 2^399971376 is an apocalyptic number.

399971376 is a gapful number since it is divisible by the number (36) 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 399971376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679970616).

399971376 is an abundant number, since it is smaller than the sum of its proper divisors (959969856).

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

399971376 is a wasteful number, since it uses less digits than its factorization.

399971376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1402 counting only the distinct ones).

The product of its digits is 1928934, while the sum is 54.

The square root of 399971376 is about 19999.2843871975. The cubic root of 399971376 is about 736.7887240226.

The spelling of 399971376 in words is "three hundred ninety-nine million, nine hundred seventy-one thousand, three hundred seventy-six".