456855552 has 234 divisors, whose sum is σ = 1450937358. Its totient is φ = 143327232.

The previous prime is 456855533. The next prime is 456855571. The reversal of 456855552 is 255558654.

456855552 is a `hidden beast` number, since 45 + 6 + 8 + 55 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (456855533) and next prime (456855571).

It can be written as a sum of positive squares in only one way, i.e., 429981696 + 26873856 = 20736^2 + 5184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 456855498 and 456855507.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26873848 + ... + 26873864.

It is an arithmetic number, because the mean of its divisors is an integer number (6200587).

Almost surely, 2^456855552 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 456855552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725468679).

456855552 is an abundant number, since it is smaller than the sum of its proper divisors (994081806).

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

456855552 is an frugal number, since it uses more digits than its factorization.

456855552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 22 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The square root of 456855552 is about 21374.1795632020. The cubic root of 456855552 is about 770.1812987385.

The spelling of 456855552 in words is "four hundred fifty-six million, eight hundred fifty-five thousand, five hundred fifty-two".