413100880 has 40 divisors (see below), whose sum is σ = 968980392. Its totient is φ = 163774464.

The previous prime is 413100859. The next prime is 413100913. The reversal of 413100880 is 88001314.

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 410629696 = 1572^2 + 20264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 13809 + ... + 31888.

Almost surely, 2^413100880 is an apocalyptic number.

413100880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413100880 is an abundant number, since it is smaller than the sum of its proper divisors (555879512).

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

413100880 is a wasteful number, since it uses less digits than its factorization.

413100880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45823 (or 45817 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 413100880 is about 20324.8832714975. The cubic root of 413100880 is about 744.7640530237.

The spelling of 413100880 in words is "four hundred thirteen million, one hundred thousand, eight hundred eighty".