454564656 has 320 divisors, whose sum is σ = 1662115840. Its totient is φ = 115706880.

The previous prime is 454564651. The next prime is 454564661. The reversal of 454564656 is 656465454.

It is an interprime number because it is at equal distance from previous prime (454564651) and next prime (454564661).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454564651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218486 + ... + 1218858.

It is an arithmetic number, because the mean of its divisors is an integer number (5194112).

Almost surely, 2^454564656 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 454564656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831057920).

454564656 is an abundant number, since it is smaller than the sum of its proper divisors (1207551184).

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

454564656 is a wasteful number, since it uses less digits than its factorization.

454564656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 454564656 is about 21320.5219448305. The cubic root of 454564656 is about 768.8917863402.

The spelling of 454564656 in words is "four hundred fifty-four million, five hundred sixty-four thousand, six hundred fifty-six".