412507328 has 84 divisors (see below), whose sum is σ = 892865880. Its totient is φ = 188559360.

The previous prime is 412507327. The next prime is 412507357. The reversal of 412507328 is 823705214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 412507294 and 412507303.

It is not an unprimeable number, because it can be changed into a prime (412507327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168400 + ... + 1168752.

Almost surely, 2^412507328 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 412507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446432940).

412507328 is an abundant number, since it is smaller than the sum of its proper divisors (480358552).

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

412507328 is a wasteful number, since it uses less digits than its factorization.

412507328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 412507328 is about 20310.2764136779. The cubic root of 412507328 is about 744.4071845183.

The spelling of 412507328 in words is "four hundred twelve million, five hundred seven thousand, three hundred twenty-eight".