413220744 has 64 divisors (see below), whose sum is σ = 1158432000. Its totient is φ = 136468800.

The previous prime is 413220727. The next prime is 413220763. The reversal of 413220744 is 447022314.

413220744 is a `hidden beast` number, since 413 + 2 + 207 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 14769 + ... + 32319.

It is an arithmetic number, because the mean of its divisors is an integer number (18100500).

Almost surely, 2^413220744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413220744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579216000).

413220744 is an abundant number, since it is smaller than the sum of its proper divisors (745211256).

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

413220744 is a wasteful number, since it uses less digits than its factorization.

413220744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17675 (or 17665 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 413220744 is about 20327.8317584537. The cubic root of 413220744 is about 744.8360788250.

The spelling of 413220744 in words is "four hundred thirteen million, two hundred twenty thousand, seven hundred forty-four".