413118720 has 432 divisors, whose sum is σ = 1683601920. Its totient is φ = 91570176.

The previous prime is 413118701. The next prime is 413118721. The reversal of 413118720 is 27811314.

It is not an unprimeable number, because it can be changed into a prime (413118721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3790026 + ... + 3790134.

Almost surely, 2^413118720 is an apocalyptic number.

413118720 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 413118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841800960).

413118720 is an abundant number, since it is smaller than the sum of its proper divisors (1270483200).

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

413118720 is a wasteful number, since it uses less digits than its factorization.

413118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 413118720 is about 20325.3221376686. The cubic root of 413118720 is about 744.7747738913.

The spelling of 413118720 in words is "four hundred thirteen million, one hundred eighteen thousand, seven hundred twenty".