399832000 has 224 divisors, whose sum is σ = 1078406784. Its totient is φ = 146432000.

The previous prime is 399831989. The next prime is 399832009. The reversal of 399832000 is 238993.

399832000 = T₁₂₀ + T₁₂₁ + ... + T₁₃₃₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399832009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7543974 + ... + 7544026.

It is an arithmetic number, because the mean of its divisors is an integer number (4814316).

Almost surely, 2^399832000 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 399832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539203392).

399832000 is an abundant number, since it is smaller than the sum of its proper divisors (678574784).

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

399832000 is a wasteful number, since it uses less digits than its factorization.

399832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 399832000 is about 19995.7995589074. The cubic root of 399832000 is about 736.7031324013.

The spelling of 399832000 in words is "three hundred ninety-nine million, eight hundred thirty-two thousand".