454553058960 has 2880 divisors, whose sum is σ = 2240640589824. Its totient is φ = 84130099200.

The previous prime is 454553058959. The next prime is 454553059001. The reversal of 454553058960 is 69850355454.

454553058960 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 53 + 0 + 589 + 6 + 0 = 666.

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 = 454553058897 and 454553058906.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6402155725 + ... + 6402155795.

Almost surely, 2^454553058960 is an apocalyptic number.

454553058960 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 454553058960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120320294912).

454553058960 is an abundant number, since it is smaller than the sum of its proper divisors (1786087530864).

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

454553058960 is a wasteful number, since it uses less digits than its factorization.

454553058960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 454553058960 in words is "four hundred fifty-four billion, five hundred fifty-three million, fifty-eight thousand, nine hundred sixty".