468838864 has 20 divisors (see below), whose sum is σ = 978250756. Its totient is φ = 216387072.

The previous prime is 468838849. The next prime is 468838883.

468838864 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 96040000 + 372798864 = 9800^2 + 19308^2 .

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 3 ways as a sum of consecutive naturals, for example, 1126809 + ... + 1127224.

Almost surely, 2^468838864 is an apocalyptic number.

It is an amenable number.

468838864 is an abundant number, since it is smaller than the sum of its proper divisors (509411892).

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

468838864 is a wasteful number, since it uses less digits than its factorization.

468838864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254054 (or 2254048 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 55.

The square root of 468838864 is about 21652.6872235296. The cubic root of 468838864 is about 776.8572115840.

It can be divided in two parts, 46 and 8838864, that added together give a triangular number (8838910 = T₄₂₀₄).

The spelling of 468838864 in words is "four hundred sixty-eight million, eight hundred thirty-eight thousand, eight hundred sixty-four".