264462 has 16 divisors (see below), whose sum is σ = 577152. Its totient is φ = 80120.

The previous prime is 264443. The next prime is 264463.

264462 is nontrivially palindromic in base 10.

It is a d-powerful number, because it can be written as 2 + 6 + 4⁴ + 4⁹ + 6 + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1938 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (36072).

2²⁶⁴⁴⁶² is an apocalyptic number.

264462 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

264462 is an abundant number, since it is smaller than the sum of its proper divisors (312690).

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

264462 is a wasteful number, since it uses less digits than its factorization.

264462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023.

The product of its digits is 2304, while the sum is 24.

The square root of 264462 is about 514.2586897662. The cubic root of 264462 is about 64.1880860259.

The spelling of 264462 in words is "two hundred sixty-four thousand, four hundred sixty-two".