456553272 has 64 divisors (see below), whose sum is σ = 1309524480. Its totient is φ = 129935232.

The previous prime is 456553259. The next prime is 456553277. The reversal of 456553272 is 272355654.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 456553272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456553277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39018 + ... + 49350.

It is an arithmetic number, because the mean of its divisors is an integer number (20461320).

Almost surely, 2^456553272 is an apocalyptic number.

456553272 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 456553272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654762240).

456553272 is an abundant number, since it is smaller than the sum of its proper divisors (852971208).

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

456553272 is a wasteful number, since it uses less digits than its factorization.

456553272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10612 (or 10608 counting only the distinct ones).

The product of its digits is 252000, while the sum is 39.

The square root of 456553272 is about 21367.1072445476. The cubic root of 456553272 is about 770.0113969191.

The spelling of 456553272 in words is "four hundred fifty-six million, five hundred fifty-three thousand, two hundred seventy-two".