456901312 has 112 divisors (see below), whose sum is σ = 1081479168. Its totient is φ = 187407360.

The previous prime is 456901301. The next prime is 456901321. The reversal of 456901312 is 213109654.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319198 + ... + 2319394.

It is an arithmetic number, because the mean of its divisors is an integer number (9656064).

Almost surely, 2^456901312 is an apocalyptic number.

456901312 is the 10688-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540739584).

456901312 is an abundant number, since it is smaller than the sum of its proper divisors (624577856).

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

456901312 is a wasteful number, since it uses less digits than its factorization.

456901312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 456901312 is about 21375.2499868423. The cubic root of 456901312 is about 770.2070124237.

The spelling of 456901312 in words is "four hundred fifty-six million, nine hundred one thousand, three hundred twelve".