401688576 has 288 divisors, whose sum is σ = 1294675200. Its totient is φ = 119439360.

The previous prime is 401688571. The next prime is 401688587. The reversal of 401688576 is 675886104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401688576² = 322707424177815552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401688571) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10856430 + ... + 10856466.

It is an arithmetic number, because the mean of its divisors is an integer number (4495400).

Almost surely, 2^401688576 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 401688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647337600).

401688576 is an abundant number, since it is smaller than the sum of its proper divisors (892986624).

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

401688576 is a wasteful number, since it uses less digits than its factorization.

401688576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 401688576 is about 20042.1699423990. The cubic root of 401688576 is about 737.8416387467.

The spelling of 401688576 in words is "four hundred one million, six hundred eighty-eight thousand, five hundred seventy-six".