468090 has 48 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 106848.

The previous prime is 468079. The next prime is 468107. The reversal of 468090 is 90864.

It is a Curzon number.

It is an unprimeable number.

468090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁴⁶⁸⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384).

468090 is an abundant number, since it is smaller than the sum of its proper divisors (924678).

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

468090 is a wasteful number, since it uses less digits than its factorization.

468090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 468090 is about 684.1710312488. The cubic root of 468090 is about 77.6443373297.

The spelling of 468090 in words is "four hundred sixty-eight thousand, ninety".