412757232 has 80 divisors (see below), whose sum is σ = 1121371680. Its totient is φ = 130636800.

The previous prime is 412757227. The next prime is 412757251. The reversal of 412757232 is 232757214.

It is a junction number, because it is equal to n+sod(n) for n = 412757193 and 412757202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82482 + ... + 87342.

It is an arithmetic number, because the mean of its divisors is an integer number (14017146).

Almost surely, 2^412757232 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 412757232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560685840).

412757232 is an abundant number, since it is smaller than the sum of its proper divisors (708614448).

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

412757232 is a wasteful number, since it uses less digits than its factorization.

412757232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4956 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 412757232 is about 20316.4276387361. The cubic root of 412757232 is about 744.5574790434.

The spelling of 412757232 in words is "four hundred twelve million, seven hundred fifty-seven thousand, two hundred thirty-two".