398721024 has 171 divisors, whose sum is σ = 1247278773. Its totient is φ = 122683392.

The previous prime is 398721013. The next prime is 398721047. The reversal of 398721024 is 420127893.

The square root of 398721024 is 19968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 339738624 = 7680^2 + 18432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 398721024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30670842 + ... + 30670854.

Almost surely, 2^398721024 is an apocalyptic number.

398721024 is the 19968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398721024

398721024 is an abundant number, since it is smaller than the sum of its proper divisors (848557749).

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

398721024 is an frugal number, since it uses more digits than its factorization.

398721024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 398721024 is about 736.0201632787.

Multiplying 398721024 by its sum of digits (36), we get a square (14353956864 = 119808²).

398721024 divided by its sum of digits (36) gives a square (11075584 = 3328²).

The spelling of 398721024 in words is "three hundred ninety-eight million, seven hundred twenty-one thousand, twenty-four".