401274400 has 36 divisors (see below), whose sum is σ = 979613082. Its totient is φ = 160509440.

The previous prime is 401274371. The next prime is 401274427. The reversal of 401274400 is 4472104.

It can be written as a sum of positive squares in 3 ways, for example, as 328479376 + 72795024 = 18124^2 + 8532^2 .

It is a super-2 number, since 2×401274400² = 322042288190720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249997 + ... + 251596.

Almost surely, 2^401274400 is an apocalyptic number.

401274400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401274400 is an abundant number, since it is smaller than the sum of its proper divisors (578338682).

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

401274400 is a wasteful number, since it uses less digits than its factorization.

401274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501613 (or 501600 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 401274400 is about 20031.8346638544. The cubic root of 401274400 is about 737.5879584836.

The spelling of 401274400 in words is "four hundred one million, two hundred seventy-four thousand, four hundred".