456266880 has 192 divisors, whose sum is σ = 1591756920. Its totient is φ = 120422400.

The previous prime is 456266849. The next prime is 456266971. The reversal of 456266880 is 88662654.

456266880 is a `hidden beast` number, since 4 + 562 + 6 + 6 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 316270656 + 139996224 = 17784^2 + 11832^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650530 + ... + 651230.

Almost surely, 2^456266880 is an apocalyptic number.

456266880 is a gapful number since it is divisible by the number (40) 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 456266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795878460).

456266880 is an abundant number, since it is smaller than the sum of its proper divisors (1135490040).

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

456266880 is a wasteful number, since it uses less digits than its factorization.

456266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 456266880 is about 21360.4044905521. The cubic root of 456266880 is about 769.8503560324.

The spelling of 456266880 in words is "four hundred fifty-six million, two hundred sixty-six thousand, eight hundred eighty".