468408160 has 96 divisors (see below), whose sum is σ = 1240015392. Its totient is φ = 165703680.

The previous prime is 468408151. The next prime is 468408163. The reversal of 468408160 is 61804864.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468408163) 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 15 ways as a sum of consecutive naturals, for example, 61524 + ... + 68716.

It is an arithmetic number, because the mean of its divisors is an integer number (12916827).

Almost surely, 2^468408160 is an apocalyptic number.

468408160 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 468408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620007696).

468408160 is an abundant number, since it is smaller than the sum of its proper divisors (771607232).

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

468408160 is a wasteful number, since it uses less digits than its factorization.

468408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 468408160 is about 21642.7391981699. The cubic root of 468408160 is about 776.6192492147.

The spelling of 468408160 in words is "four hundred sixty-eight million, four hundred eight thousand, one hundred sixty".