412716672 has 96 divisors (see below), whose sum is σ = 1193400000. Its totient is φ = 136905216.

The previous prime is 412716659. The next prime is 412716683. The reversal of 412716672 is 276617214.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 274579 + ... + 276077.

It is an arithmetic number, because the mean of its divisors is an integer number (12431250).

Almost surely, 2^412716672 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 412716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596700000).

412716672 is an abundant number, since it is smaller than the sum of its proper divisors (780683328).

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

412716672 is a wasteful number, since it uses less digits than its factorization.

412716672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1743 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 412716672 is about 20315.4294072264. The cubic root of 412716672 is about 744.5330900174.

The spelling of 412716672 in words is "four hundred twelve million, seven hundred sixteen thousand, six hundred seventy-two".