398523264 has 64 divisors (see below), whose sum is σ = 1065239040. Its totient is φ = 132005376.

The previous prime is 398523253. The next prime is 398523283. The reversal of 398523264 is 462325893.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 59409 + ... + 65775.

It is an arithmetic number, because the mean of its divisors is an integer number (16644360).

Almost surely, 2^398523264 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 398523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532619520).

398523264 is an abundant number, since it is smaller than the sum of its proper divisors (666715776).

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

398523264 is a wasteful number, since it uses less digits than its factorization.

398523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6547 (or 6535 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 398523264 is about 19963.0474627498. The cubic root of 398523264 is about 735.8984579511.

The spelling of 398523264 in words is "three hundred ninety-eight million, five hundred twenty-three thousand, two hundred sixty-four".