468163080 has 192 divisors, whose sum is σ = 1897084800. Its totient is φ = 97274880.

The previous prime is 468163057. The next prime is 468163081. The reversal of 468163080 is 80361864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (468163081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19276 + ... + 36164.

It is an arithmetic number, because the mean of its divisors is an integer number (9880650).

Almost surely, 2^468163080 is an apocalyptic number.

468163080 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 468163080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948542400).

468163080 is an abundant number, since it is smaller than the sum of its proper divisors (1428921720).

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

468163080 is a wasteful number, since it uses less digits than its factorization.

468163080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16924 (or 16917 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 468163080 is about 21637.0765123202. The cubic root of 468163080 is about 776.4837782964.

The spelling of 468163080 in words is "four hundred sixty-eight million, one hundred sixty-three thousand, eighty".