398974464 has 480 divisors, whose sum is σ = 1492761600. Its totient is φ = 104509440.

The previous prime is 398974453. The next prime is 398974501. The reversal of 398974464 is 464479893.

It is a happy number.

398974464 is a `hidden beast` number, since 3 + 98 + 97 + 4 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 398974464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12870129 + ... + 12870159.

It is an arithmetic number, because the mean of its divisors is an integer number (3109920).

Almost surely, 2^398974464 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 398974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746380800).

398974464 is an abundant number, since it is smaller than the sum of its proper divisors (1093787136).

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

398974464 is a wasteful number, since it uses less digits than its factorization.

398974464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 398974464 is about 19974.3451457113. The cubic root of 398974464 is about 736.1760763357.

The spelling of 398974464 in words is "three hundred ninety-eight million, nine hundred seventy-four thousand, four hundred sixty-four".