401506560 has 432 divisors, whose sum is σ = 1714212864. Its totient is φ = 84492288.

The previous prime is 401506559. The next prime is 401506591. The reversal of 401506560 is 65605104.

It is a happy number.

401506560 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 0 + 656 + 0 = 666.

It is a super-2 number, since 2×401506560² = 322415035446067200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048129 + ... + 1048511.

Almost surely, 2^401506560 is an apocalyptic number.

401506560 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 401506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857106432).

401506560 is an abundant number, since it is smaller than the sum of its proper divisors (1312706304).

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

401506560 is a wasteful number, since it uses less digits than its factorization.

401506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 401506560 is about 20037.6286022074. The cubic root of 401506560 is about 737.7301765496.

The spelling of 401506560 in words is "four hundred one million, five hundred six thousand, five hundred sixty".