399435624 has 192 divisors, whose sum is σ = 1297296000. Its totient is φ = 112783104.

The previous prime is 399435611. The next prime is 399435661. The reversal of 399435624 is 426534993.

It is a self number, because there is not a number n which added to its sum of digits gives 399435624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027494 + ... + 2027690.

It is an arithmetic number, because the mean of its divisors is an integer number (6756750).

Almost surely, 2^399435624 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 399435624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648648000).

399435624 is an abundant number, since it is smaller than the sum of its proper divisors (897860376).

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

399435624 is a wasteful number, since it uses less digits than its factorization.

399435624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 399435624 is about 19985.8856196067. The cubic root of 399435624 is about 736.4596067958.

The spelling of 399435624 in words is "three hundred ninety-nine million, four hundred thirty-five thousand, six hundred twenty-four".