398960064 has 84 divisors (see below), whose sum is σ = 1167957024. Its totient is φ = 130148352.

The previous prime is 398960057. The next prime is 398960077. The reversal of 398960064 is 460069893.

398960064 is a `hidden beast` number, since 39 + 8 + 9 + 600 + 6 + 4 = 666.

It is a congruent number.

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, 19704 + ... + 34440.

Almost surely, 2^398960064 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 398960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583978512).

398960064 is an abundant number, since it is smaller than the sum of its proper divisors (768996960).

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

398960064 is a wasteful number, since it uses less digits than its factorization.

398960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14802 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 398960064 is about 19973.9846800782. The cubic root of 398960064 is about 736.1672194087.

The spelling of 398960064 in words is "three hundred ninety-eight million, nine hundred sixty thousand, sixty-four".