413665920 has 256 divisors, whose sum is σ = 1506988800. Its totient is φ = 107163648.

The previous prime is 413665873. The next prime is 413665921. The reversal of 413665920 is 29566314.

It is a happy number.

413665920 is a `hidden beast` number, since 4 + 1 + 3 + 66 + 592 + 0 = 666.

It is a super-2 number, since 2×413665920² = 342238986738892800, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413665921) 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, 639037 + ... + 639683.

It is an arithmetic number, because the mean of its divisors is an integer number (5886675).

Almost surely, 2^413665920 is an apocalyptic number.

413665920 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 413665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753494400).

413665920 is an abundant number, since it is smaller than the sum of its proper divisors (1093322880).

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

413665920 is a wasteful number, since it uses less digits than its factorization.

413665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 413665920 is about 20338.7787243974. The cubic root of 413665920 is about 745.1034614506.

The spelling of 413665920 in words is "four hundred thirteen million, six hundred sixty-five thousand, nine hundred twenty".