401408304 has 160 divisors (see below), whose sum is σ = 1170544128. Its totient is φ = 118483200.

The previous prime is 401408291. The next prime is 401408321. The reversal of 401408304 is 403804104.

It is a super-2 number, since 2×401408304² = 322257253040312832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3897117 + ... + 3897219.

Almost surely, 2^401408304 is an apocalyptic number.

401408304 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 401408304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585272064).

401408304 is an abundant number, since it is smaller than the sum of its proper divisors (769135824).

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

401408304 is a wasteful number, since it uses less digits than its factorization.

401408304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 401408304 is about 20035.1766650559. The cubic root of 401408304 is about 737.6699929502.

The spelling of 401408304 in words is "four hundred one million, four hundred eight thousand, three hundred four".