468777864 has 64 divisors (see below), whose sum is σ = 1206959040. Its totient is φ = 151614720.

The previous prime is 468777857. The next prime is 468777871.

It is a happy number.

468777864 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (468777857) and next prime (468777871).

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 15 ways as a sum of consecutive naturals, for example, 570574 + ... + 571394.

It is an arithmetic number, because the mean of its divisors is an integer number (18858735).

Almost surely, 2^468777864 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 468777864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603479520).

468777864 is an abundant number, since it is smaller than the sum of its proper divisors (738181176).

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

468777864 is a wasteful number, since it uses less digits than its factorization.

468777864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1506 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 57.

The square root of 468777864 is about 21651.2785765645. The cubic root of 468777864 is about 776.8235181704.

The spelling of 468777864 in words is "four hundred sixty-eight million, seven hundred seventy-seven thousand, eight hundred sixty-four".