413565880 has 96 divisors (see below), whose sum is σ = 1165782240. Its totient is φ = 130878720.

The previous prime is 413565877. The next prime is 413565883. The reversal of 413565880 is 88565314.

It is an interprime number because it is at equal distance from previous prime (413565877) and next prime (413565883).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413565883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17365 + ... + 33595.

It is an arithmetic number, because the mean of its divisors is an integer number (12143565).

Almost surely, 2^413565880 is an apocalyptic number.

413565880 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 413565880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582891120).

413565880 is an abundant number, since it is smaller than the sum of its proper divisors (752216360).

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

413565880 is a wasteful number, since it uses less digits than its factorization.

413565880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16269 (or 16258 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 413565880 is about 20336.3192343157. The cubic root of 413565880 is about 745.0433919143.

The spelling of 413565880 in words is "four hundred thirteen million, five hundred sixty-five thousand, eight hundred eighty".