413227584 has 315 divisors, whose sum is σ = 1515593235. Its totient is φ = 107331840.

The previous prime is 413227567. The next prime is 413227649. The reversal of 413227584 is 485722314.

It is a happy number.

The square root of 413227584 is 20328.

It is a perfect power (a square), and thus also a powerful number.

413227584 is a `hidden beast` number, since 41 + 32 + 2 + 7 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37566139 + ... + 37566149.

Almost surely, 2^413227584 is an apocalyptic number.

413227584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

413227584 is the 20328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413227584

413227584 is an abundant number, since it is smaller than the sum of its proper divisors (1102365651).

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

413227584 is an equidigital number, since it uses as much as digits as its factorization.

413227584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The cubic root of 413227584 is about 744.8401885338.

Multiplying 413227584 by its sum of digits (36), we get a square (14876193024 = 121968²).

413227584 divided by its sum of digits (36) gives a square (11478544 = 3388²).

Adding to 413227584 its reverse (485722314), we get a palindrome (898949898).

The spelling of 413227584 in words is "four hundred thirteen million, two hundred twenty-seven thousand, five hundred eighty-four".