455974272 has 320 divisors, whose sum is σ = 1555092000. Its totient is φ = 131383296.

The previous prime is 455974271. The next prime is 455974313. The reversal of 455974272 is 272479554.

455974272 is a `hidden beast` number, since 4 + 559 + 74 + 27 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455974271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2291229 + ... + 2291427.

Almost surely, 2^455974272 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 455974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777546000).

455974272 is an abundant number, since it is smaller than the sum of its proper divisors (1099117728).

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

455974272 is a wasteful number, since it uses less digits than its factorization.

455974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 455974272 is about 21353.5540835712. The cubic root of 455974272 is about 769.6857502174.

The spelling of 455974272 in words is "four hundred fifty-five million, nine hundred seventy-four thousand, two hundred seventy-two".