468368160 has 192 divisors, whose sum is σ = 1623670272. Its totient is φ = 112766976.

The previous prime is 468368149. The next prime is 468368161. The reversal of 468368160 is 61863864.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (468368161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292482 + ... + 294078.

It is an arithmetic number, because the mean of its divisors is an integer number (8456616).

Almost surely, 2^468368160 is an apocalyptic number.

468368160 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 468368160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811835136).

468368160 is an abundant number, since it is smaller than the sum of its proper divisors (1155302112).

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

468368160 is a wasteful number, since it uses less digits than its factorization.

468368160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 468368160 is about 21641.8150809954. The cubic root of 468368160 is about 776.5971419609.

The spelling of 468368160 in words is "four hundred sixty-eight million, three hundred sixty-eight thousand, one hundred sixty".