399959040 has 176 divisors, whose sum is σ = 1378335168. Its totient is φ = 98402304.

The previous prime is 399959009. The next prime is 399959047. The reversal of 399959040 is 40959993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399959047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 198679 + ... + 200681.

Almost surely, 2^399959040 is an apocalyptic number.

399959040 is a gapful number since it is divisible by the number (30) 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 399959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689167584).

399959040 is an abundant number, since it is smaller than the sum of its proper divisors (978376128).

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

399959040 is a wasteful number, since it uses less digits than its factorization.

399959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 48.

The square root of 399959040 is about 19998.9759737843. The cubic root of 399959040 is about 736.7811492146.

The spelling of 399959040 in words is "three hundred ninety-nine million, nine hundred fifty-nine thousand, forty".