454864560 has 160 divisors (see below), whose sum is σ = 1549186560. Its totient is φ = 109891584.

The previous prime is 454864559. The next prime is 454864577. The reversal of 454864560 is 65468454.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102712 + ... + 107048.

It is an arithmetic number, because the mean of its divisors is an integer number (9682416).

Almost surely, 2^454864560 is an apocalyptic number.

454864560 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 454864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774593280).

454864560 is an abundant number, since it is smaller than the sum of its proper divisors (1094322000).

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

454864560 is a wasteful number, since it uses less digits than its factorization.

454864560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 454864560 is about 21327.5540088403. The cubic root of 454864560 is about 769.0608440864.

The spelling of 454864560 in words is "four hundred fifty-four million, eight hundred sixty-four thousand, five hundred sixty".