468780066 has 96 divisors (see below), whose sum is σ = 1149033600. Its totient is φ = 137313792.

The previous prime is 468780031. The next prime is 468780073. The reversal of 468780066 is 660087864.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301860 + ... + 303408.

It is an arithmetic number, because the mean of its divisors is an integer number (11969100).

Almost surely, 2^468780066 is an apocalyptic number.

468780066 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 468780066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574516800).

468780066 is an abundant number, since it is smaller than the sum of its proper divisors (680253534).

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

468780066 is a wasteful number, since it uses less digits than its factorization.

468780066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 468780066 is about 21651.3294280051. The cubic root of 468780066 is about 776.8247344983.

The spelling of 468780066 in words is "four hundred sixty-eight million, seven hundred eighty thousand, sixty-six".