412829564 has 48 divisors (see below), whose sum is σ = 877544640. Its totient is φ = 166464000.

The previous prime is 412829539. The next prime is 412829603. The reversal of 412829564 is 465928214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136064 + ... + 139064.

It is an arithmetic number, because the mean of its divisors is an integer number (18282180).

Almost surely, 2^412829564 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 412829564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438772320).

412829564 is an abundant number, since it is smaller than the sum of its proper divisors (464715076).

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

412829564 is a wasteful number, since it uses less digits than its factorization.

412829564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3027 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 412829564 is about 20318.2076965465. The cubic root of 412829564 is about 744.6009688415.

The spelling of 412829564 in words is "four hundred twelve million, eight hundred twenty-nine thousand, five hundred sixty-four".