456525312 has 80 divisors (see below), whose sum is σ = 1280304960. Its totient is φ = 144156672.

The previous prime is 456525301. The next prime is 456525317. The reversal of 456525312 is 213525654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456525317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21363 + ... + 37005.

It is an arithmetic number, because the mean of its divisors is an integer number (16003812).

Almost surely, 2^456525312 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 456525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640152480).

456525312 is an abundant number, since it is smaller than the sum of its proper divisors (823779648).

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

456525312 is a wasteful number, since it uses less digits than its factorization.

456525312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15683 (or 15667 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 456525312 is about 21366.4529578496. The cubic root of 456525312 is about 769.9956777179.

The spelling of 456525312 in words is "four hundred fifty-six million, five hundred twenty-five thousand, three hundred twelve".