468656760 has 256 divisors, whose sum is σ = 1706987520. Its totient is φ = 101376000.

The previous prime is 468656753. The next prime is 468656807. The reversal of 468656760 is 67656864.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 531520 + ... + 532400.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2^468656760 is an apocalyptic number.

468656760 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 468656760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853493760).

468656760 is an abundant number, since it is smaller than the sum of its proper divisors (1238330760).

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

468656760 is a wasteful number, since it uses less digits than its factorization.

468656760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 468656760 is about 21648.4817019578. The cubic root of 468656760 is about 776.7566175870.

The spelling of 468656760 in words is "four hundred sixty-eight million, six hundred fifty-six thousand, seven hundred sixty".