399409152 has 128 divisors (see below), whose sum is σ = 1132444800. Its totient is φ = 124780544.

The previous prime is 399409147. The next prime is 399409163. The reversal of 399409152 is 251904993.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1671049 + ... + 1671287.

It is an arithmetic number, because the mean of its divisors is an integer number (8847225).

Almost surely, 2^399409152 is an apocalyptic number.

399409152 is a gapful number since it is divisible by the number (32) 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 399409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566222400).

399409152 is an abundant number, since it is smaller than the sum of its proper divisors (733035648).

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

399409152 is an equidigital number, since it uses as much as digits as its factorization.

399409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 399409152 is about 19985.2233412589. The cubic root of 399409152 is about 736.4433371825.

The spelling of 399409152 in words is "three hundred ninety-nine million, four hundred nine thousand, one hundred fifty-two".