453506376960 has 1440 divisors, whose sum is σ = 2028325888512. Its totient is φ = 94197841920.

The previous prime is 453506376943. The next prime is 453506376989. The reversal of 453506376960 is 69673605354.

453506376960 is a `hidden beast` number, since 4 + 5 + 3 + 506 + 3 + 76 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 453506376897 and 453506376906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 669876142 + ... + 669876818.

Almost surely, 2^453506376960 is an apocalyptic number.

453506376960 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 453506376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014162944256).

453506376960 is an abundant number, since it is smaller than the sum of its proper divisors (1574819511552).

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

453506376960 is a wasteful number, since it uses less digits than its factorization.

453506376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 453506376960 in words is "four hundred fifty-three billion, five hundred six million, three hundred seventy-six thousand, nine hundred sixty".