453481228800 has 1080 divisors, whose sum is σ = 1763325634356. Its totient is φ = 111232942080.

The previous prime is 453481228789. The next prime is 453481228867. The reversal of 453481228800 is 8822184354.

453481228800 is a `hidden beast` number, since 4 + 5 + 348 + 1 + 228 + 80 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 143829045504 + 309652183296 = 379248^2 + 556464^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1764518272 + ... + 1764518528.

Almost surely, 2^453481228800 is an apocalyptic number.

453481228800 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 453481228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881662817178).

453481228800 is an abundant number, since it is smaller than the sum of its proper divisors (1309844405556).

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

453481228800 is a wasteful number, since it uses less digits than its factorization.

453481228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 453481228800 in words is "four hundred fifty-three billion, four hundred eighty-one million, two hundred twenty-eight thousand, eight hundred".