468520800 has 144 divisors (see below), whose sum is σ = 1663768512. Its totient is φ = 113574400.

The previous prime is 468520777. The next prime is 468520823. The reversal of 468520800 is 8025864.

It is an interprime number because it is at equal distance from previous prime (468520777) and next prime (468520823).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17527 + ... + 35273.

It is an arithmetic number, because the mean of its divisors is an integer number (11553948).

Almost surely, 2^468520800 is an apocalyptic number.

468520800 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 468520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831884256).

468520800 is an abundant number, since it is smaller than the sum of its proper divisors (1195247712).

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

468520800 is a wasteful number, since it uses less digits than its factorization.

468520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17781 (or 17768 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 468520800 is about 21645.3413001505. The cubic root of 468520800 is about 776.6814964800.

The spelling of 468520800 in words is "four hundred sixty-eight million, five hundred twenty thousand, eight hundred".