454312800 has 504 divisors, whose sum is σ = 1793088360. Its totient is φ = 111974400.

The previous prime is 454312783. The next prime is 454312823. The reversal of 454312800 is 8213454.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11080780 + ... + 11080820.

It is an arithmetic number, because the mean of its divisors is an integer number (3557715).

Almost surely, 2^454312800 is an apocalyptic number.

454312800 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 454312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896544180).

454312800 is an abundant number, since it is smaller than the sum of its proper divisors (1338775560).

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

454312800 is a wasteful number, since it uses less digits than its factorization.

454312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 454312800 is about 21314.6147044698. The cubic root of 454312800 is about 768.7497560975.

The spelling of 454312800 in words is "four hundred fifty-four million, three hundred twelve thousand, eight hundred".