468031180 has 96 divisors (see below), whose sum is σ = 1085736960. Its totient is φ = 168791040.

The previous prime is 468031177. The next prime is 468031183. The reversal of 468031180 is 81130864.

It is an interprime number because it is at equal distance from previous prime (468031177) and next prime (468031183).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (468031183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788964 + ... + 789556.

It is an arithmetic number, because the mean of its divisors is an integer number (11309760).

Almost surely, 2^468031180 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 468031180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542868480).

468031180 is an abundant number, since it is smaller than the sum of its proper divisors (617705780).

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

468031180 is a wasteful number, since it uses less digits than its factorization.

468031180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 468031180 is about 21634.0282887862. The cubic root of 468031180 is about 776.4108494143.

The spelling of 468031180 in words is "four hundred sixty-eight million, thirty-one thousand, one hundred eighty".