455930496 has 288 divisors, whose sum is σ = 1571349780. Its totient is φ = 126443520.

The previous prime is 455930491. The next prime is 455930507. The reversal of 455930496 is 694039554.

455930496 is a `hidden beast` number, since 4 + 559 + 3 + 0 + 4 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 455224896 + 705600 = 21336^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455930491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2314270 + ... + 2314466.

Almost surely, 2^455930496 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 455930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785674890).

455930496 is an abundant number, since it is smaller than the sum of its proper divisors (1115419284).

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

455930496 is a wasteful number, since it uses less digits than its factorization.

455930496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 455930496 is about 21352.5290305387. The cubic root of 455930496 is about 769.6611180954.

The spelling of 455930496 in words is "four hundred fifty-five million, nine hundred thirty thousand, four hundred ninety-six".