453868800 has 432 divisors, whose sum is σ = 1873546752. Its totient is φ = 94003200.

The previous prime is 453868783. The next prime is 453868823. The reversal of 453868800 is 8868354.

It is a super-2 number, since 2×453868800² = 411993775226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1478247 + ... + 1478553.

Almost surely, 2^453868800 is an apocalyptic number.

453868800 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 453868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936773376).

453868800 is an abundant number, since it is smaller than the sum of its proper divisors (1419677952).

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

453868800 is a wasteful number, since it uses less digits than its factorization.

453868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 453868800 is about 21304.1967696508. The cubic root of 453868800 is about 768.4992413681.

The spelling of 453868800 in words is "four hundred fifty-three million, eight hundred sixty-eight thousand, eight hundred".