401580288 has 72 divisors (see below), whose sum is σ = 1187564000. Its totient is φ = 133857792.

The previous prime is 401580271. The next prime is 401580317. The reversal of 401580288 is 882085104.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×401580288² = 322533455420325888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22138 + ... + 35961.

Almost surely, 2^401580288 is an apocalyptic number.

401580288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

401580288 is an abundant number, since it is smaller than the sum of its proper divisors (785983712).

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

401580288 is an equidigital number, since it uses as much as digits as its factorization.

401580288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58124 (or 58104 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 401580288 is about 20039.4682564184. The cubic root of 401580288 is about 737.7753298521.

The spelling of 401580288 in words is "four hundred one million, five hundred eighty thousand, two hundred eighty-eight".