399962880 has 288 divisors, whose sum is σ = 1448133120. Its totient is φ = 104509440.

The previous prime is 399962861. The next prime is 399962881. The reversal of 399962880 is 88269993.

399962880 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 628 + 8 + 0 = 666.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (399962881) 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, 2453679 + ... + 2453841.

It is an arithmetic number, because the mean of its divisors is an integer number (5028240).

Almost surely, 2^399962880 is an apocalyptic number.

399962880 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 399962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724066560).

399962880 is an abundant number, since it is smaller than the sum of its proper divisors (1048170240).

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

399962880 is a wasteful number, since it uses less digits than its factorization.

399962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 399962880 is about 19999.0719784694. The cubic root of 399962880 is about 736.7835071481.

The spelling of 399962880 in words is "three hundred ninety-nine million, nine hundred sixty-two thousand, eight hundred eighty".