468090112 has 144 divisors (see below), whose sum is σ = 1145555712. Its totient is φ = 186531840.

The previous prime is 468090109. The next prime is 468090167. The reversal of 468090112 is 211090864.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1689718 + ... + 1689994.

It is an arithmetic number, because the mean of its divisors is an integer number (7955248).

Almost surely, 2^468090112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572777856).

468090112 is an abundant number, since it is smaller than the sum of its proper divisors (677465600).

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

468090112 is a wasteful number, since it uses less digits than its factorization.

468090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 468090112 is about 21635.3902668752. The cubic root of 468090112 is about 776.4434352233.

The spelling of 468090112 in words is "four hundred sixty-eight million, ninety thousand, one hundred twelve".