413005120 has 56 divisors (see below), whose sum is σ = 1072883808. Its totient is φ = 150182400.

The previous prime is 413005111. The next prime is 413005163. The reversal of 413005120 is 21500314.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 413005094 and 413005103.

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, 55146 + ... + 62185.

Almost surely, 2^413005120 is an apocalyptic number.

413005120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413005120 is an abundant number, since it is smaller than the sum of its proper divisors (659878688).

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

413005120 is a wasteful number, since it uses less digits than its factorization.

413005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117359 (or 117349 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 413005120 is about 20322.5274018760. The cubic root of 413005120 is about 744.7065012080.

Adding to 413005120 its reverse (21500314), we get a palindrome (434505434).

The spelling of 413005120 in words is "four hundred thirteen million, five thousand, one hundred twenty".