456414912 has 140 divisors (see below), whose sum is σ = 1432819080. Its totient is φ = 143161344.

The previous prime is 456414887. The next prime is 456414923. The reversal of 456414912 is 219414654.

456414912 is a `hidden beast` number, since 4 + 5 + 641 + 4 + 9 + 1 + 2 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85539 + ... + 90717.

It is an arithmetic number, because the mean of its divisors is an integer number (10234422).

Almost surely, 2^456414912 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 456414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716409540).

456414912 is an abundant number, since it is smaller than the sum of its proper divisors (976404168).

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

456414912 is a wasteful number, since it uses less digits than its factorization.

456414912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5201 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 456414912 is about 21363.8693124630. The cubic root of 456414912 is about 769.9336042148.

The spelling of 456414912 in words is "four hundred fifty-six million, four hundred fourteen thousand, nine hundred twelve".