462505264 has 80 divisors (see below), whose sum is σ = 1030246560. Its totient is φ = 199249920.

The previous prime is 462505261. The next prime is 462505273.

462505264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×462505264² = 427822238455419392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (462505261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491034 + ... + 491974.

It is an arithmetic number, because the mean of its divisors is an integer number (12878082).

Almost surely, 2^462505264 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 462505264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515123280).

462505264 is an abundant number, since it is smaller than the sum of its proper divisors (567741296).

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

462505264 is a wasteful number, since it uses less digits than its factorization.

462505264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 462505264 is about 21505.9355527724. The cubic root of 462505264 is about 773.3431208300.

The spelling of 462505264 in words is "four hundred sixty-two million, five hundred five thousand, two hundred sixty-four".