468588960 has 432 divisors, whose sum is σ = 1932676200. Its totient is φ = 102961152.

The previous prime is 468588949. The next prime is 468588973. The reversal of 468588960 is 69885864.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 451647504 + 16941456 = 21252^2 + 4116^2 .

It is a super-2 number, since 2×468588960² = 439151226867763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468588897 and 468588906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2046126 + ... + 2046354.

Almost surely, 2^468588960 is an apocalyptic number.

468588960 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 468588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966338100).

468588960 is an abundant number, since it is smaller than the sum of its proper divisors (1464087240).

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

468588960 is a wasteful number, since it uses less digits than its factorization.

468588960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 468588960 is about 21646.9157156395. The cubic root of 468588960 is about 776.7191583041.

The spelling of 468588960 in words is "four hundred sixty-eight million, five hundred eighty-eight thousand, nine hundred sixty".