465985800 has 288 divisors, whose sum is σ = 1847738880. Its totient is φ = 102988800.

The previous prime is 465985799. The next prime is 465985801. The reversal of 465985800 is 8589564.

465985800 is a `hidden beast` number, since 4 + 6 + 598 + 58 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (465985799) and next prime (465985801).

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 (465985801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390004 + ... + 391196.

It is an arithmetic number, because the mean of its divisors is an integer number (6415760).

Almost surely, 2^465985800 is an apocalyptic number.

465985800 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 465985800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923869440).

465985800 is an abundant number, since it is smaller than the sum of its proper divisors (1381753080).

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

465985800 is a wasteful number, since it uses less digits than its factorization.

465985800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1241 counting only the distinct ones).

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

The square root of 465985800 is about 21586.7042412685. The cubic root of 465985800 is about 775.2781797077.

The spelling of 465985800 in words is "four hundred sixty-five million, nine hundred eighty-five thousand, eight hundred".