264434456 has 64 divisors (see below), whose sum is σ = 616805280. Its totient is φ = 104417280.

The previous prime is 264434453. The next prime is 264434491. The reversal of 264434456 is 654434462.

264434456 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264434453) 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, 12650 + ... + 26246.

Almost surely, 2^264434456 is an apocalyptic number.

264434456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264434456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308402640).

264434456 is an abundant number, since it is smaller than the sum of its proper divisors (352370824).

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

264434456 is a wasteful number, since it uses less digits than its factorization.

264434456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13644 (or 13640 counting only the distinct ones).

The product of its digits is 276480, while the sum is 38.

The square root of 264434456 is about 16261.4407725761. The cubic root of 264434456 is about 641.8585752928.

The spelling of 264434456 in words is "two hundred sixty-four million, four hundred thirty-four thousand, four hundred fifty-six".