412290624 has 56 divisors (see below), whose sum is σ = 1096129888. Its totient is φ = 136765440.

The previous prime is 412290623. The next prime is 412290649. The reversal of 412290624 is 426092214.

It is a junction number, because it is equal to n+sod(n) for n = 412290591 and 412290600.

It is not an unprimeable number, because it can be changed into a prime (412290623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35424 + ... + 45600.

It is an arithmetic number, because the mean of its divisors is an integer number (19573748).

Almost surely, 2^412290624 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 412290624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548064944).

412290624 is an abundant number, since it is smaller than the sum of its proper divisors (683839264).

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

412290624 is a wasteful number, since it uses less digits than its factorization.

412290624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403 (or 10393 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 412290624 is about 20304.9408765453. The cubic root of 412290624 is about 744.2768076256.

The spelling of 412290624 in words is "four hundred twelve million, two hundred ninety thousand, six hundred twenty-four".