468159360 has 128 divisors (see below), whose sum is σ = 1506621600. Its totient is φ = 123641856.

The previous prime is 468159281. The next prime is 468159397. The reversal of 468159360 is 63951864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208162 + ... + 210398.

Almost surely, 2^468159360 is an apocalyptic number.

468159360 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 468159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753310800).

468159360 is an abundant number, since it is smaller than the sum of its proper divisors (1038462240).

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

468159360 is a wasteful number, since it uses less digits than its factorization.

468159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 468159360 is about 21636.9905485952. The cubic root of 468159360 is about 776.4817216575.

The spelling of 468159360 in words is "four hundred sixty-eight million, one hundred fifty-nine thousand, three hundred sixty".