399244032 has 288 divisors, whose sum is σ = 1324512000. Its totient is φ = 117596160.

The previous prime is 399243953. The next prime is 399244033. The reversal of 399244032 is 230442993.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (399244033) 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, 4485844 + ... + 4485932.

It is an arithmetic number, because the mean of its divisors is an integer number (4599000).

Almost surely, 2^399244032 is an apocalyptic number.

399244032 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 399244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662256000).

399244032 is an abundant number, since it is smaller than the sum of its proper divisors (925267968).

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

399244032 is a wasteful number, since it uses less digits than its factorization.

399244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 399244032 is about 19981.0918620580. The cubic root of 399244032 is about 736.3418386863.

It can be divided in two parts, 39924 and 4032, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 399244032 in words is "three hundred ninety-nine million, two hundred forty-four thousand, thirty-two".