468044200 has 96 divisors (see below), whose sum is σ = 1209922560. Its totient is φ = 167212800.

The previous prime is 468044183. The next prime is 468044243. The reversal of 468044200 is 2440864.

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, 77697 + ... + 83503.

It is an arithmetic number, because the mean of its divisors is an integer number (12603360).

Almost surely, 2^468044200 is an apocalyptic number.

468044200 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 468044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604961280).

468044200 is an abundant number, since it is smaller than the sum of its proper divisors (741878360).

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

468044200 is a wasteful number, since it uses less digits than its factorization.

468044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 468044200 is about 21634.3292015260. The cubic root of 468044200 is about 776.4180489172.

The spelling of 468044200 in words is "four hundred sixty-eight million, forty-four thousand, two hundred".