454483560960 has 1680 divisors, whose sum is σ = 1944703129248. Its totient is φ = 100926259200.

The previous prime is 454483560943. The next prime is 454483560991. The reversal of 454483560960 is 69065384454.

454483560960 is a `hidden beast` number, since 4 + 54 + 483 + 56 + 0 + 9 + 60 = 666.

It is a super-2 number, since 2×454483560960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 454483560897 and 454483560906.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3469340095 + ... + 3469340225.

Almost surely, 2^454483560960 is an apocalyptic number.

454483560960 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 454483560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972351564624).

454483560960 is an abundant number, since it is smaller than the sum of its proper divisors (1490219568288).

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

454483560960 is a wasteful number, since it uses less digits than its factorization.

454483560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 454483560960 in words is "four hundred fifty-four billion, four hundred eighty-three million, five hundred sixty thousand, nine hundred sixty".