401922900 has 108 divisors (see below), whose sum is σ = 1280632444. Its totient is φ = 105408000.

The previous prime is 401922863. The next prime is 401922901. The reversal of 401922900 is 9229104.

It can be written as a sum of positive squares in 6 ways, for example, as 218211984 + 183710916 = 14772^2 + 13554^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401922901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51240 + ... + 58560.

Almost surely, 2^401922900 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 401922900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640316222).

401922900 is an abundant number, since it is smaller than the sum of its proper divisors (878709544).

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

401922900 is a wasteful number, since it uses less digits than its factorization.

401922900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 401922900 is about 20048.0148643201. The cubic root of 401922900 is about 737.9850835331.

The spelling of 401922900 in words is "four hundred one million, nine hundred twenty-two thousand, nine hundred".