468095800 has 24 divisors (see below), whose sum is σ = 1088323200. Its totient is φ = 187238240.

The previous prime is 468095779. The next prime is 468095801. The reversal of 468095800 is 8590864.

It is a super-3 number, since 3×468095800³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468095801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1170040 + ... + 1170439.

It is an arithmetic number, because the mean of its divisors is an integer number (45346800).

Almost surely, 2^468095800 is an apocalyptic number.

468095800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468095800 is an abundant number, since it is smaller than the sum of its proper divisors (620227400).

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

468095800 is a wasteful number, since it uses less digits than its factorization.

468095800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340495 (or 2340486 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 468095800 is about 21635.5217177678. The cubic root of 468095800 is about 776.4465801963.

The spelling of 468095800 in words is "four hundred sixty-eight million, ninety-five thousand, eight hundred".