398792320 has 96 divisors (see below), whose sum is σ = 978946020. Its totient is φ = 155344896.

The previous prime is 398792309. The next prime is 398792333. The reversal of 398792320 is 23297893.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 384473664 + 14318656 = 19608^2 + 3784^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 1183192 + ... + 1183528.

Almost surely, 2^398792320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489473010).

398792320 is an abundant number, since it is smaller than the sum of its proper divisors (580153700).

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

398792320 is an equidigital number, since it uses as much as digits as its factorization.

398792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 398792320 is about 19969.7851766112. The cubic root of 398792320 is about 736.0640303462.

The spelling of 398792320 in words is "three hundred ninety-eight million, seven hundred ninety-two thousand, three hundred twenty".