454664560 has 80 divisors (see below), whose sum is σ = 1216440000. Its totient is φ = 154810368.

The previous prime is 454664543. The next prime is 454664563. The reversal of 454664560 is 65466454.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454664563) 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 15 ways as a sum of consecutive naturals, for example, 80716 + ... + 86164.

It is an arithmetic number, because the mean of its divisors is an integer number (15205500).

Almost surely, 2^454664560 is an apocalyptic number.

454664560 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 454664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608220000).

454664560 is an abundant number, since it is smaller than the sum of its proper divisors (761775440).

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

454664560 is a wasteful number, since it uses less digits than its factorization.

454664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The square root of 454664560 is about 21322.8647231089. The cubic root of 454664560 is about 768.9481111023.

The spelling of 454664560 in words is "four hundred fifty-four million, six hundred sixty-four thousand, five hundred sixty".