401518880 has 48 divisors (see below), whose sum is σ = 1084104000. Its totient is φ = 137663232.

The previous prime is 401518879. The next prime is 401518921. The reversal of 401518880 is 88815104.

It is a super-2 number, since 2×401518880² = 322434821992908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 401518880.

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, 178130 + ... + 180369.

It is an arithmetic number, because the mean of its divisors is an integer number (22585500).

Almost surely, 2^401518880 is an apocalyptic number.

401518880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401518880 is an abundant number, since it is smaller than the sum of its proper divisors (682585120).

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

401518880 is a wasteful number, since it uses less digits than its factorization.

401518880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358521 (or 358513 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The square root of 401518880 is about 20037.9360214569. The cubic root of 401518880 is about 737.7377220825.

The spelling of 401518880 in words is "four hundred one million, five hundred eighteen thousand, eight hundred eighty".