399321600 has 120 divisors (see below), whose sum is σ = 1319260800. Its totient is φ = 106475520.

The previous prime is 399321581. The next prime is 399321631. The reversal of 399321600 is 6123993.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33201 + ... + 43599.

It is an arithmetic number, because the mean of its divisors is an integer number (10993840).

Almost surely, 2^399321600 is an apocalyptic number.

399321600 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 399321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659630400).

399321600 is an abundant number, since it is smaller than the sum of its proper divisors (919939200).

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

399321600 is a wasteful number, since it uses less digits than its factorization.

399321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10430 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 399321600 is about 19983.0328028555. The cubic root of 399321600 is about 736.3895228599.

The spelling of 399321600 in words is "three hundred ninety-nine million, three hundred twenty-one thousand, six hundred".