413880 has 32 divisors (see below), whose sum is σ = 1242000. Its totient is φ = 110336.

The previous prime is 413879. The next prime is 413887. The reversal of 413880 is 88314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1605 + ... + 1844.

2⁴¹³⁸⁸⁰ is an apocalyptic number.

413880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413880 is an abundant number, since it is smaller than the sum of its proper divisors (828120).

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

413880 is a wasteful number, since it uses less digits than its factorization.

413880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 413880 is about 643.3350604467. The cubic root of 413880 is about 74.5231974366.

The spelling of 413880 in words is "four hundred thirteen thousand, eight hundred eighty".