462323264 has 28 divisors (see below), whose sum is σ = 987995484. Its totient is φ = 213379584.

The previous prime is 462323263. The next prime is 462323269.

462323264 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 231283264 + 231040000 = 15208^2 + 15200^2 .

It is a super-3 number, since 3×462323264³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 462323264.

It is not an unprimeable number, because it can be changed into a prime (462323263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277007 + ... + 278670.

It is an arithmetic number, because the mean of its divisors is an integer number (35285553).

Almost surely, 2^462323264 is an apocalyptic number.

It is an amenable number.

462323264 is an abundant number, since it is smaller than the sum of its proper divisors (525672220).

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

462323264 is a wasteful number, since it uses less digits than its factorization.

462323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555702 (or 555692 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The square root of 462323264 is about 21501.7037464476. The cubic root of 462323264 is about 773.2416683530.

The spelling of 462323264 in words is "four hundred sixty-two million, three hundred twenty-three thousand, two hundred sixty-four".