454073700960 has 960 divisors, whose sum is σ = 1875506814720. Its totient is φ = 102284881920.

The previous prime is 454073700893. The next prime is 454073701007. The reversal of 454073700960 is 69007370454.

454073700960 is a `hidden beast` number, since 454 + 0 + 73 + 70 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143556339 + ... + 143559501.

It is an arithmetic number, because the mean of its divisors is an integer number (1953652932).

Almost surely, 2^454073700960 is an apocalyptic number.

454073700960 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 454073700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937753407360).

454073700960 is an abundant number, since it is smaller than the sum of its proper divisors (1421433113760).

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

454073700960 is a wasteful number, since it uses less digits than its factorization.

454073700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 454073700960 in words is "four hundred fifty-four billion, seventy-three million, seven hundred thousand, nine hundred sixty".