468090600 has 96 divisors (see below), whose sum is σ = 1471096320. Its totient is φ = 123102720.

The previous prime is 468090587. The next prime is 468090611. The reversal of 468090600 is 6090864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38457 + ... + 49143.

It is an arithmetic number, because the mean of its divisors is an integer number (15323920).

Almost surely, 2^468090600 is an apocalyptic number.

468090600 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 468090600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735548160).

468090600 is an abundant number, since it is smaller than the sum of its proper divisors (1003005720).

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

468090600 is a wasteful number, since it uses less digits than its factorization.

468090600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10779 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 468090600 is about 21635.4015446906. The cubic root of 468090600 is about 776.4437050461.

The spelling of 468090600 in words is "four hundred sixty-eight million, ninety thousand, six hundred".