454996800 has 252 divisors, whose sum is σ = 1703303680. Its totient is φ = 114877440.

The previous prime is 454996793. The next prime is 454996811. The reversal of 454996800 is 8699454.

It is a happy number.

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

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, 272769 + ... + 274431.

Almost surely, 2^454996800 is an apocalyptic number.

454996800 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 454996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851651840).

454996800 is an abundant number, since it is smaller than the sum of its proper divisors (1248306880).

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

454996800 is a wasteful number, since it uses less digits than its factorization.

454996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 454996800 is about 21330.6539984127. The cubic root of 454996800 is about 769.1353649884.

The spelling of 454996800 in words is "four hundred fifty-four million, nine hundred ninety-six thousand, eight hundred".