399052800 has 234 divisors, whose sum is σ = 1432622282. Its totient is φ = 106168320.

The previous prime is 399052757. The next prime is 399052811. The reversal of 399052800 is 8250993.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 398721024 = 576^2 + 19968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921384 + ... + 921816.

Almost surely, 2^399052800 is an apocalyptic number.

399052800 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 399052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716311141).

399052800 is an abundant number, since it is smaller than the sum of its proper divisors (1033569482).

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

399052800 is a wasteful number, since it uses less digits than its factorization.

399052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 399052800 is about 19976.3059648174. The cubic root of 399052800 is about 736.2242542856.

The spelling of 399052800 in words is "three hundred ninety-nine million, fifty-two thousand, eight hundred".