401086464 has 96 divisors (see below), whose sum is σ = 1081931760. Its totient is φ = 132120576.

The previous prime is 401086417. The next prime is 401086471. The reversal of 401086464 is 464680104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595632 + ... + 596304.

Almost surely, 2^401086464 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 401086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540965880).

401086464 is an abundant number, since it is smaller than the sum of its proper divisors (680845296).

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

401086464 is an equidigital number, since it uses as much as digits as its factorization.

401086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 401086464 is about 20027.1431811929. The cubic root of 401086464 is about 737.4727912590.

The spelling of 401086464 in words is "four hundred one million, eighty-six thousand, four hundred sixty-four".