401908864 has 64 divisors (see below), whose sum is σ = 917804160. Its totient is φ = 171730944.

The previous prime is 401908847. The next prime is 401908867. The reversal of 401908864 is 468809104.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (401908867) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 552469 + ... + 553195.

It is an arithmetic number, because the mean of its divisors is an integer number (14340690).

Almost surely, 2^401908864 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 401908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458902080).

401908864 is an abundant number, since it is smaller than the sum of its proper divisors (515895296).

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

401908864 is an equidigital number, since it uses as much as digits as its factorization.

401908864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 401908864 is about 20047.6648016671. The cubic root of 401908864 is about 737.9764927650.

The spelling of 401908864 in words is "four hundred one million, nine hundred eight thousand, eight hundred sixty-four".