454976496 has 120 divisors (see below), whose sum is σ = 1377099360. Its totient is φ = 139396608.

The previous prime is 454976479. The next prime is 454976503. The reversal of 454976496 is 694679454.

It is a happy number.

454976496 is a `hidden beast` number, since 4 + 5 + 497 + 64 + 96 = 666.

It is a super-2 number, since 2×454976496² = 414007223824876032, which contains 22 as substring.

It is a congruent number.

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, 671710 + ... + 672386.

It is an arithmetic number, because the mean of its divisors is an integer number (11475828).

Almost surely, 2^454976496 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 454976496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688549680).

454976496 is an abundant number, since it is smaller than the sum of its proper divisors (922122864).

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

454976496 is a wasteful number, since it uses less digits than its factorization.

454976496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1054 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 454976496 is about 21330.1780583285. The cubic root of 454976496 is about 769.1239240605.

The spelling of 454976496 in words is "four hundred fifty-four million, nine hundred seventy-six thousand, four hundred ninety-six".