401580096 has 112 divisors (see below), whose sum is σ = 1098645504. Its totient is φ = 129378816.

The previous prime is 401580077. The next prime is 401580119. The reversal of 401580096 is 690085104.

It is a super-2 number, since 2×401580096² = 322533147006738432, 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 15 ways as a sum of consecutive naturals, for example, 1048321 + ... + 1048703.

Almost surely, 2^401580096 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 401580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549322752).

401580096 is an abundant number, since it is smaller than the sum of its proper divisors (697065408).

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

401580096 is a wasteful number, since it uses less digits than its factorization.

401580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 401580096 is about 20039.4634658715. The cubic root of 401580096 is about 737.7752122726.

The spelling of 401580096 in words is "four hundred one million, five hundred eighty thousand, ninety-six".