468507776 has 128 divisors (see below), whose sum is σ = 1089849600. Its totient is φ = 198374400.

The previous prime is 468507761. The next prime is 468507799. The reversal of 468507776 is 677705864.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2220311 + ... + 2220521.

It is an arithmetic number, because the mean of its divisors is an integer number (8514450).

Almost surely, 2^468507776 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 468507776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544924800).

468507776 is an abundant number, since it is smaller than the sum of its proper divisors (621341824).

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

468507776 is a wasteful number, since it uses less digits than its factorization.

468507776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The square root of 468507776 is about 21645.0404481027. The cubic root of 468507776 is about 776.6742996501.

The spelling of 468507776 in words is "four hundred sixty-eight million, five hundred seven thousand, seven hundred seventy-six".