413661520 has 40 divisors (see below), whose sum is σ = 992793600. Its totient is φ = 160126080.

The previous prime is 413661503. The next prime is 413661529. The reversal of 413661520 is 25166314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×413661520² = 342231706257420800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413661529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80920 + ... + 85879.

It is an arithmetic number, because the mean of its divisors is an integer number (24819840).

Almost surely, 2^413661520 is an apocalyptic number.

413661520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413661520 is an abundant number, since it is smaller than the sum of its proper divisors (579132080).

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

413661520 is a wasteful number, since it uses less digits than its factorization.

413661520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166843 (or 166837 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 413661520 is about 20338.6705563564. The cubic root of 413661520 is about 745.1008196514.

It can be divided in two parts, 4136 and 61520, that added together give a palindrome (65656).

The spelling of 413661520 in words is "four hundred thirteen million, six hundred sixty-one thousand, five hundred twenty".