413840880 has 160 divisors (see below), whose sum is σ = 1460531520. Its totient is φ = 107642880.

The previous prime is 413840879. The next prime is 413840887. The reversal of 413840880 is 88048314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413840887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86224 + ... + 90896.

It is an arithmetic number, because the mean of its divisors is an integer number (9128322).

Almost surely, 2^413840880 is an apocalyptic number.

413840880 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 413840880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730265760).

413840880 is an abundant number, since it is smaller than the sum of its proper divisors (1046690640).

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

413840880 is a wasteful number, since it uses less digits than its factorization.

413840880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 413840880 is about 20343.0794129109. The cubic root of 413840880 is about 745.2084938133.

The spelling of 413840880 in words is "four hundred thirteen million, eight hundred forty thousand, eight hundred eighty".