413313020 has 24 divisors (see below), whose sum is σ = 868404768. Its totient is φ = 165240000.

The previous prime is 413313007. The next prime is 413313071. The reversal of 413313020 is 20313314.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 413313020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46970 + ... + 55070.

It is an arithmetic number, because the mean of its divisors is an integer number (36183532).

Almost surely, 2^413313020 is an apocalyptic number.

It is an amenable number.

413313020 is an abundant number, since it is smaller than the sum of its proper divisors (455091748).

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

413313020 is a wasteful number, since it uses less digits than its factorization.

413313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10661 (or 10659 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 413313020 is about 20330.1013278341. The cubic root of 413313020 is about 744.8915176186.

Adding to 413313020 its reverse (20313314), we get a palindrome (433626334).

The spelling of 413313020 in words is "four hundred thirteen million, three hundred thirteen thousand, twenty".