401556960 has 384 divisors, whose sum is σ = 1645056000. Its totient is φ = 91445760.

The previous prime is 401556959. The next prime is 401556971. The reversal of 401556960 is 69655104.

401556960 is a `hidden beast` number, since 40 + 1 + 556 + 9 + 60 = 666.

It is a super-2 number, since 2×401556960² = 322495984248883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 1481625 + ... + 1481895.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2^401556960 is an apocalyptic number.

401556960 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 401556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822528000).

401556960 is an abundant number, since it is smaller than the sum of its proper divisors (1243499040).

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

401556960 is a wasteful number, since it uses less digits than its factorization.

401556960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 401556960 is about 20038.8861965929. The cubic root of 401556960 is about 737.7610436627.

The spelling of 401556960 in words is "four hundred one million, five hundred fifty-six thousand, nine hundred sixty".