453807204480 has 2304 divisors, whose sum is σ = 2084466908160. Its totient is φ = 93640458240.

The previous prime is 453807204479. The next prime is 453807204493. The reversal of 453807204480 is 84402708354.

It is a happy number.

453807204480 is a `hidden beast` number, since 4 + 538 + 0 + 72 + 0 + 4 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4015992904 + ... + 4015993016.

It is an arithmetic number, because the mean of its divisors is an integer number (904716540).

Almost surely, 2^453807204480 is an apocalyptic number.

453807204480 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 453807204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042233454080).

453807204480 is an abundant number, since it is smaller than the sum of its proper divisors (1630659703680).

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

453807204480 is a wasteful number, since it uses less digits than its factorization.

453807204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 453807204480 in words is "four hundred fifty-three billion, eight hundred seven million, two hundred four thousand, four hundred eighty".