454914560 has 80 divisors (see below), whose sum is σ = 1154999736. Its totient is φ = 171245568.

The previous prime is 454914547. The next prime is 454914569. The reversal of 454914560 is 65419454.

It can be written as a sum of positive squares in 4 ways, for example, as 454883584 + 30976 = 21328^2 + 176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (454914569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38294 + ... + 48746.

Almost surely, 2^454914560 is an apocalyptic number.

454914560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577499868).

454914560 is an abundant number, since it is smaller than the sum of its proper divisors (700085176).

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

454914560 is a wasteful number, since it uses less digits than its factorization.

454914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10493 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 454914560 is about 21328.7261691832. The cubic root of 454914560 is about 769.0890221689.

The spelling of 454914560 in words is "four hundred fifty-four million, nine hundred fourteen thousand, five hundred sixty".