455344800 has 288 divisors, whose sum is σ = 1581648768. Its totient is φ = 113541120.

The previous prime is 455344793. The next prime is 455344801. The reversal of 455344800 is 8443554.

It is not an unprimeable number, because it can be changed into a prime (455344801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4029544 + ... + 4029656.

It is an arithmetic number, because the mean of its divisors is an integer number (5491836).

Almost surely, 2^455344800 is an apocalyptic number.

455344800 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 455344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790824384).

455344800 is an abundant number, since it is smaller than the sum of its proper divisors (1126303968).

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

455344800 is a wasteful number, since it uses less digits than its factorization.

455344800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 455344800 is about 21338.8097137586. The cubic root of 455344800 is about 769.3314036545.

The spelling of 455344800 in words is "four hundred fifty-five million, three hundred forty-four thousand, eight hundred".