413355888 has 120 divisors (see below), whose sum is σ = 1283667840. Its totient is φ = 123108480.

The previous prime is 413355883. The next prime is 413355889. The reversal of 413355888 is 888553314.

413355888 is a `hidden beast` number, since 4 + 13 + 3 + 558 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413355881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91245 + ... + 95667.

It is an arithmetic number, because the mean of its divisors is an integer number (10697232).

Almost surely, 2^413355888 is an apocalyptic number.

413355888 is a gapful number since it is divisible by the number (48) 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 413355888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641833920).

413355888 is an abundant number, since it is smaller than the sum of its proper divisors (870311952).

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

413355888 is a wasteful number, since it uses less digits than its factorization.

413355888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4498 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 413355888 is about 20331.1555992275. The cubic root of 413355888 is about 744.9172696146.

The spelling of 413355888 in words is "four hundred thirteen million, three hundred fifty-five thousand, eight hundred eighty-eight".