468972140 has 144 divisors (see below), whose sum is σ = 1247599584. Its totient is φ = 146764800.

The previous prime is 468972131. The next prime is 468972169. The reversal of 468972140 is 41279864.

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 47 ways as a sum of consecutive naturals, for example, 1668800 + ... + 1669080.

It is an arithmetic number, because the mean of its divisors is an integer number (8663886).

Almost surely, 2^468972140 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 468972140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623799792).

468972140 is an abundant number, since it is smaller than the sum of its proper divisors (778627444).

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

468972140 is a wasteful number, since it uses less digits than its factorization.

468972140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 468972140 is about 21655.7645905195. The cubic root of 468972140 is about 776.9308165548.

The spelling of 468972140 in words is "four hundred sixty-eight million, nine hundred seventy-two thousand, one hundred forty".