401558976 has 336 divisors, whose sum is σ = 1455627264. Its totient is φ = 103016448.

The previous prime is 401558959. The next prime is 401558987. The reversal of 401558976 is 679855104.

401558976 is a `hidden beast` number, since 4 + 0 + 1 + 558 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×401558976² = 322499222412337152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2463471 + ... + 2463633.

It is an arithmetic number, because the mean of its divisors is an integer number (4332224).

Almost surely, 2^401558976 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 401558976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727813632).

401558976 is an abundant number, since it is smaller than the sum of its proper divisors (1054068288).

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

401558976 is a wasteful number, since it uses less digits than its factorization.

401558976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 401558976 is about 20038.9364987267. The cubic root of 401558976 is about 737.7622782935.

The spelling of 401558976 in words is "four hundred one million, five hundred fifty-eight thousand, nine hundred seventy-six".