412472564 has 96 divisors (see below), whose sum is σ = 905748480. Its totient is φ = 160353792.

The previous prime is 412472563. The next prime is 412472609. The reversal of 412472564 is 465274214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412472561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2304227 + ... + 2304405.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2^412472564 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 412472564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

412472564 is an abundant number, since it is smaller than the sum of its proper divisors (493275916).

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

412472564 is a wasteful number, since it uses less digits than its factorization.

412472564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 53760, while the sum is 35.

The square root of 412472564 is about 20309.4205727293. The cubic root of 412472564 is about 744.3862723255.

The spelling of 412472564 in words is "four hundred twelve million, four hundred seventy-two thousand, five hundred sixty-four".