413621520 has 160 divisors (see below), whose sum is σ = 1418575872. Its totient is φ = 99035136.

The previous prime is 413621501. The next prime is 413621539. The reversal of 413621520 is 25126314.

It is an interprime number because it is at equal distance from previous prime (413621501) and next prime (413621539).

It is a super-2 number, since 2×413621520² = 342165523614220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113649 + ... + 117231.

Almost surely, 2^413621520 is an apocalyptic number.

413621520 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 413621520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709287936).

413621520 is an abundant number, since it is smaller than the sum of its proper divisors (1004954352).

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

413621520 is a wasteful number, since it uses less digits than its factorization.

413621520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 413621520 is about 20337.6871841417. The cubic root of 413621520 is about 745.0768024360.

Adding to 413621520 its reverse (25126314), we get a palindrome (438747834).

The spelling of 413621520 in words is "four hundred thirteen million, six hundred twenty-one thousand, five hundred twenty".