401808400 has 60 divisors (see below), whose sum is σ = 1103258752. Its totient is φ = 137761920.

The previous prime is 401808343. The next prime is 401808431. The reversal of 401808400 is 4808104.

It is a super-2 number, since 2×401808400² = 322899980621120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 68952 + ... + 74551.

Almost surely, 2^401808400 is an apocalyptic number.

401808400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401808400 is an abundant number, since it is smaller than the sum of its proper divisors (701450352).

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

401808400 is a wasteful number, since it uses less digits than its factorization.

401808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143528 (or 143517 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 401808400 is about 20045.1590165805. The cubic root of 401808400 is about 737.9149976888.

The spelling of 401808400 in words is "four hundred one million, eight hundred eight thousand, four hundred".