412955712 has 224 divisors, whose sum is σ = 1351848960. Its totient is φ = 122757120.

The previous prime is 412955707. The next prime is 412955713. The reversal of 412955712 is 217559214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (412955713) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 696088 + ... + 696680.

It is an arithmetic number, because the mean of its divisors is an integer number (6035040).

Almost surely, 2^412955712 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 412955712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675924480).

412955712 is an abundant number, since it is smaller than the sum of its proper divisors (938893248).

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

412955712 is a wasteful number, since it uses less digits than its factorization.

412955712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 412955712 is about 20321.3117686827. The cubic root of 412955712 is about 744.6768034921.

The spelling of 412955712 in words is "four hundred twelve million, nine hundred fifty-five thousand, seven hundred twelve".