401775360 has 144 divisors (see below), whose sum is σ = 1466578176. Its totient is φ = 91828224.

The previous prime is 401775347. The next prime is 401775389. The reversal of 401775360 is 63577104.

It is a super-2 number, since 2×401775360² = 322846879806259200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19407 + ... + 34353.

Almost surely, 2^401775360 is an apocalyptic number.

401775360 is a gapful number since it is divisible by the number (40) 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 401775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733289088).

401775360 is an abundant number, since it is smaller than the sum of its proper divisors (1064802816).

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

401775360 is a wasteful number, since it uses less digits than its factorization.

401775360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14978 (or 14964 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 401775360 is about 20044.3348605036. The cubic root of 401775360 is about 737.8947713157.

The spelling of 401775360 in words is "four hundred one million, seven hundred seventy-five thousand, three hundred sixty".