455689800 has 240 divisors, whose sum is σ = 1652840640. Its totient is φ = 116138880.

The previous prime is 455689757. The next prime is 455689807. The reversal of 455689800 is 8986554.

455689800 is a `hidden beast` number, since 4 + 5 + 568 + 9 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (455689807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 371989 + ... + 373211.

It is an arithmetic number, because the mean of its divisors is an integer number (6886836).

Almost surely, 2^455689800 is an apocalyptic number.

455689800 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 455689800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826420320).

455689800 is an abundant number, since it is smaller than the sum of its proper divisors (1197150840).

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

455689800 is a wasteful number, since it uses less digits than its factorization.

455689800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 455689800 is about 21346.8920454477. The cubic root of 455689800 is about 769.5256537621.

The spelling of 455689800 in words is "four hundred fifty-five million, six hundred eighty-nine thousand, eight hundred".