401474304 has 432 divisors, whose sum is σ = 1510139904. Its totient is φ = 99532800.

The previous prime is 401474303. The next prime is 401474323. The reversal of 401474304 is 403474104.

It is a super-2 number, since 2×401474304² = 322363233544568832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401474303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5499612 + ... + 5499684.

Almost surely, 2^401474304 is an apocalyptic number.

401474304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401474304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755069952).

401474304 is an abundant number, since it is smaller than the sum of its proper divisors (1108665600).

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

401474304 is a wasteful number, since it uses less digits than its factorization.

401474304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 401474304 is about 20036.8237003773. The cubic root of 401474304 is about 737.7104202416.

The spelling of 401474304 in words is "four hundred one million, four hundred seventy-four thousand, three hundred four".