468263800 has 48 divisors (see below), whose sum is σ = 1090376640. Its totient is φ = 187019520.

The previous prime is 468263777. The next prime is 468263819. The reversal of 468263800 is 8362864.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 468263800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171244 + ... + 173956.

It is an arithmetic number, because the mean of its divisors is an integer number (22716180).

Almost surely, 2^468263800 is an apocalyptic number.

468263800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468263800 is an abundant number, since it is smaller than the sum of its proper divisors (622112840).

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

468263800 is a wasteful number, since it uses less digits than its factorization.

468263800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 468263800 is about 21639.4038734897. The cubic root of 468263800 is about 776.5394582092.

The spelling of 468263800 in words is "four hundred sixty-eight million, two hundred sixty-three thousand, eight hundred".