455762496 has 112 divisors (see below), whose sum is σ = 1422725120. Its totient is φ = 126005760.

The previous prime is 455762479. The next prime is 455762501. The reversal of 455762496 is 694267554.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36195 + ... + 47133.

Almost surely, 2^455762496 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 455762496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711362560).

455762496 is an abundant number, since it is smaller than the sum of its proper divisors (966962624).

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

455762496 is a wasteful number, since it uses less digits than its factorization.

455762496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992 (or 10982 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 455762496 is about 21348.5947078490. The cubic root of 455762496 is about 769.5665722864.

The spelling of 455762496 in words is "four hundred fifty-five million, seven hundred sixty-two thousand, four hundred ninety-six".