399252672 has 224 divisors, whose sum is σ = 1445158400. Its totient is φ = 105255936.

The previous prime is 399252589. The next prime is 399252683. The reversal of 399252672 is 276252993.

It is a happy number.

399252672 is a `hidden beast` number, since 39 + 92 + 526 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155979 + ... + 158517.

It is an arithmetic number, because the mean of its divisors is an integer number (6451600).

Almost surely, 2^399252672 is an apocalyptic number.

399252672 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 399252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722579200).

399252672 is an abundant number, since it is smaller than the sum of its proper divisors (1045905728).

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

399252672 is a wasteful number, since it uses less digits than its factorization.

399252672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2564 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 399252672 is about 19981.3080652894. The cubic root of 399252672 is about 736.3471503480.

The spelling of 399252672 in words is "three hundred ninety-nine million, two hundred fifty-two thousand, six hundred seventy-two".