456552 has 48 divisors (see below), whose sum is σ = 1312740. Its totient is φ = 142848.

The previous prime is 456539. The next prime is 456553. The reversal of 456552 is 255654.

456552 is a `hidden beast` number, since 4 + 5 + 655 + 2 = 666.

456552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 443556 + 12996 = 666^2 + 114^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456553) by changing a digit.

456552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038 + ... + 1410.

2⁴⁵⁶⁵⁵² 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 456552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656370).

456552 is an abundant number, since it is smaller than the sum of its proper divisors (856188).

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

456552 is a wasteful number, since it uses less digits than its factorization.

456552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 456552 is about 675.6863177540. The cubic root of 456552 is about 77.0010681811.

The spelling of 456552 in words is "four hundred fifty-six thousand, five hundred fifty-two".