456922452 has 72 divisors (see below), whose sum is σ = 1260648480. Its totient is φ = 128399040.

The previous prime is 456922451. The next prime is 456922457. The reversal of 456922452 is 254229654.

It is a self number, because there is not a number n which added to its sum of digits gives 456922452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456922451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29499 + ... + 42237.

Almost surely, 2^456922452 is an apocalyptic number.

456922452 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 456922452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630324240).

456922452 is an abundant number, since it is smaller than the sum of its proper divisors (803726028).

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

456922452 is a wasteful number, since it uses less digits than its factorization.

456922452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12821 (or 12812 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 456922452 is about 21375.7444782632. The cubic root of 456922452 is about 770.2188909372.

The spelling of 456922452 in words is "four hundred fifty-six million, nine hundred twenty-two thousand, four hundred fifty-two".