456453312 has 224 divisors, whose sum is σ = 1449189888. Its totient is φ = 124084224.

The previous prime is 456453311. The next prime is 456453317. The reversal of 456453312 is 213354654.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (456453311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3331708 + ... + 3331844.

Almost surely, 2^456453312 is an apocalyptic number.

456453312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724594944).

456453312 is an abundant number, since it is smaller than the sum of its proper divisors (992736576).

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

456453312 is a wasteful number, since it uses less digits than its factorization.

456453312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 456453312 is about 21364.7680071654. The cubic root of 456453312 is about 769.9551961337.

The spelling of 456453312 in words is "four hundred fifty-six million, four hundred fifty-three thousand, three hundred twelve".