455319561800 has 192 divisors, whose sum is σ = 1105331159040. Its totient is φ = 174236832000.

The previous prime is 455319561779. The next prime is 455319561821. The reversal of 455319561800 is 8165913554.

It is an interprime number because it is at equal distance from previous prime (455319561779) and next prime (455319561821).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260628527 + ... + 260630273.

It is an arithmetic number, because the mean of its divisors is an integer number (5756933120).

Almost surely, 2^455319561800 is an apocalyptic number.

455319561800 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 455319561800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552665579520).

455319561800 is an abundant number, since it is smaller than the sum of its proper divisors (650011597240).

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

455319561800 is a wasteful number, since it uses less digits than its factorization.

455319561800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 47.

The spelling of 455319561800 in words is "four hundred fifty-five billion, three hundred nineteen million, five hundred sixty-one thousand, eight hundred".