413004620 has 48 divisors (see below), whose sum is σ = 1009931328. Its totient is φ = 138927360.

The previous prime is 413004611. The next prime is 413004659. The reversal of 413004620 is 26400314.

It is a happy number.

It is a super-3 number, since 3×413004620³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413004592 and 413004601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20411 + ... + 35250.

It is an arithmetic number, because the mean of its divisors is an integer number (21040236).

Almost surely, 2^413004620 is an apocalyptic number.

It is an amenable number.

413004620 is an abundant number, since it is smaller than the sum of its proper divisors (596926708).

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

413004620 is a wasteful number, since it uses less digits than its factorization.

413004620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55730 (or 55728 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 413004620 is about 20322.5151002527. The cubic root of 413004620 is about 744.7062006844.

Adding to 413004620 its reverse (26400314), we get a palindrome (439404934).

The spelling of 413004620 in words is "four hundred thirteen million, four thousand, six hundred twenty".