462989264 has 60 divisors (see below), whose sum is σ = 987436800. Its totient is φ = 209702592.

The previous prime is 462989231. The next prime is 462989269.

It is a happy number.

462989264 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462989269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159377 + ... + 162255.

It is an arithmetic number, because the mean of its divisors is an integer number (16457280).

Almost surely, 2^462989264 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 462989264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493718400).

462989264 is an abundant number, since it is smaller than the sum of its proper divisors (524447536).

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

462989264 is a wasteful number, since it uses less digits than its factorization.

462989264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2923 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 50.

The square root of 462989264 is about 21517.1853177873. The cubic root of 462989264 is about 773.6127880900.

The spelling of 462989264 in words is "four hundred sixty-two million, nine hundred eighty-nine thousand, two hundred sixty-four".