468796760 has 64 divisors (see below), whose sum is σ = 1120003200. Its totient is φ = 175988736.

The previous prime is 468796733. The next prime is 468796781. The reversal of 468796760 is 67697864.

It is a happy number.

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, 314096 + ... + 315584.

It is an arithmetic number, because the mean of its divisors is an integer number (17500050).

Almost surely, 2^468796760 is an apocalyptic number.

468796760 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 468796760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560001600).

468796760 is an abundant number, since it is smaller than the sum of its proper divisors (651206440).

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

468796760 is a wasteful number, since it uses less digits than its factorization.

468796760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The square root of 468796760 is about 21651.7149436251. The cubic root of 468796760 is about 776.8339557082.

The spelling of 468796760 in words is "four hundred sixty-eight million, seven hundred ninety-six thousand, seven hundred sixty".