468191880 has 128 divisors (see below), whose sum is σ = 1680739200. Its totient is φ = 115243776.

The previous prime is 468191861. The next prime is 468191903. The reversal of 468191880 is 88191864.

468191880 is a `hidden beast` number, since 468 + 1 + 9 + 188 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634 + ... + 30713.

It is an arithmetic number, because the mean of its divisors is an integer number (13130775).

Almost surely, 2^468191880 is an apocalyptic number.

468191880 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 468191880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840369600).

468191880 is an abundant number, since it is smaller than the sum of its proper divisors (1212547320).

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

468191880 is a wasteful number, since it uses less digits than its factorization.

468191880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33380 (or 33370 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 468191880 is about 21637.7420263760. The cubic root of 468191880 is about 776.4997002940.

The spelling of 468191880 in words is "four hundred sixty-eight million, one hundred ninety-one thousand, eight hundred eighty".