455308800 has 240 divisors, whose sum is σ = 1534401792. Its totient is φ = 118988800.

The previous prime is 455308793. The next prime is 455308801. The reversal of 455308800 is 8803554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×455308800² = 414612206714880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455308801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2726317 + ... + 2726483.

Almost surely, 2^455308800 is an apocalyptic number.

455308800 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 455308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767200896).

455308800 is an abundant number, since it is smaller than the sum of its proper divisors (1079092992).

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

455308800 is a wasteful number, since it uses less digits than its factorization.

455308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 455308800 is about 21337.9661636249. The cubic root of 455308800 is about 769.3111284253.

The spelling of 455308800 in words is "four hundred fifty-five million, three hundred eight thousand, eight hundred".