399504960 has 140 divisors (see below), whose sum is σ = 1421201628. Its totient is φ = 106527744.

The previous prime is 399504949. The next prime is 399504997. The reversal of 399504960 is 69405993.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 253191744 + 146313216 = 15912^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18214 + ... + 33626.

Almost surely, 2^399504960 is an apocalyptic number.

399504960 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 399504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710600814).

399504960 is an abundant number, since it is smaller than the sum of its proper divisors (1021696668).

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

399504960 is a wasteful number, since it uses less digits than its factorization.

399504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15442 (or 15423 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 399504960 is about 19987.6201684943. The cubic root of 399504960 is about 736.5022170905.

The spelling of 399504960 in words is "three hundred ninety-nine million, five hundred four thousand, nine hundred sixty".