401805312 has 104 divisors (see below), whose sum is σ = 1128392160. Its totient is φ = 126812160.

The previous prime is 401805301. The next prime is 401805329. The reversal of 401805312 is 213508104.

It is a super-2 number, since 2×401805312² = 322895017502834688, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232612 + ... + 234332.

Almost surely, 2^401805312 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 401805312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564196080).

401805312 is an abundant number, since it is smaller than the sum of its proper divisors (726586848).

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

401805312 is a wasteful number, since it uses less digits than its factorization.

401805312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 401805312 is about 20045.0819903536. The cubic root of 401805312 is about 737.9131073290.

The spelling of 401805312 in words is "four hundred one million, eight hundred five thousand, three hundred twelve".