412506432 has 140 divisors (see below), whose sum is σ = 1317074836. Its totient is φ = 126904320.

The previous prime is 412506407. The next prime is 412506463. The reversal of 412506432 is 234605214.

412506432 is a `hidden beast` number, since 4 + 12 + 5 + 0 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 358572096 = 7344^2 + 18936^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 412506396 and 412506405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64332 + ... + 70452.

Almost surely, 2^412506432 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 412506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658537418).

412506432 is an abundant number, since it is smaller than the sum of its proper divisors (904568404).

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

412506432 is a wasteful number, since it uses less digits than its factorization.

412506432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 412506432 is about 20310.2543558666. The cubic root of 412506432 is about 744.4066455466.

The spelling of 412506432 in words is "four hundred twelve million, five hundred six thousand, four hundred thirty-two".