454504800 has 72 divisors (see below), whose sum is σ = 1479420936. Its totient is φ = 121200640.

The previous prime is 454504793. The next prime is 454504801. The reversal of 454504800 is 8405454.

It is a super-2 number, since 2×454504800² = 413149226446080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454504801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 92289 + ... + 97088.

It is an arithmetic number, because the mean of its divisors is an integer number (20547513).

Almost surely, 2^454504800 is an apocalyptic number.

454504800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454504800 is an abundant number, since it is smaller than the sum of its proper divisors (1024916136).

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

454504800 is a wasteful number, since it uses less digits than its factorization.

454504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189400 (or 189387 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 454504800 is about 21319.1181806378. The cubic root of 454504800 is about 768.8580362408.

The spelling of 454504800 in words is "four hundred fifty-four million, five hundred four thousand, eight hundred".