468880060 has 96 divisors (see below), whose sum is σ = 1143942912. Its totient is φ = 159544320.

The previous prime is 468880051. The next prime is 468880073. The reversal of 468880060 is 60088864.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 468879995 and 468880022.

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 31 ways as a sum of consecutive naturals, for example, 1058199 + ... + 1058641.

It is an arithmetic number, because the mean of its divisors is an integer number (11916072).

Almost surely, 2^468880060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468880060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571971456).

468880060 is an abundant number, since it is smaller than the sum of its proper divisors (675062852).

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

468880060 is a wasteful number, since it uses less digits than its factorization.

468880060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 468880060 is about 21653.6384933341. The cubic root of 468880060 is about 776.8799645843.

It can be divided in two parts, 4688 and 80060, that added together give a palindrome (84748).

The spelling of 468880060 in words is "four hundred sixty-eight million, eight hundred eighty thousand, sixty".