453628800 has 288 divisors, whose sum is σ = 1705899000. Its totient is φ = 114462720.

The previous prime is 453628787. The next prime is 453628831. The reversal of 453628800 is 8826354.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 546786 + ... + 547614.

Almost surely, 2^453628800 is an apocalyptic number.

453628800 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 453628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852949500).

453628800 is an abundant number, since it is smaller than the sum of its proper divisors (1252270200).

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

453628800 is a wasteful number, since it uses less digits than its factorization.

453628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 453628800 is about 21298.5633318306. The cubic root of 453628800 is about 768.3637599711.

The spelling of 453628800 in words is "four hundred fifty-three million, six hundred twenty-eight thousand, eight hundred".