401922304 has 81 divisors (see below), whose sum is σ = 938501067. Its totient is φ = 171290112.

The previous prime is 401922293. The next prime is 401922319. The reversal of 401922304 is 403229104.

The square root of 401922304 is 20048.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2245287 + ... + 2245465.

Almost surely, 2^401922304 is an apocalyptic number.

401922304 is the 20048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401922304

401922304 is an abundant number, since it is smaller than the sum of its proper divisors (536578763).

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

401922304 is an frugal number, since it uses more digits than its factorization.

401922304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 401922304 is about 737.9847187539.

Multiplying 401922304 by its sum of digits (25), we get a square (10048057600 = 100240²).

The spelling of 401922304 in words is "four hundred one million, nine hundred twenty-two thousand, three hundred four".