264862296 has 192 divisors, whose sum is σ = 792529920. Its totient is φ = 79664640.

The previous prime is 264862291. The next prime is 264862313. The reversal of 264862296 is 692268462.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264862291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3191071 + ... + 3191153.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^264862296 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 264862296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

264862296 is an abundant number, since it is smaller than the sum of its proper divisors (527667624).

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

264862296 is a wasteful number, since it uses less digits than its factorization.

264862296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 264862296 is about 16274.5905017607. The cubic root of 264862296 is about 642.2045523985.

It can be divided in two parts, 26486 and 2296, that added together give a palindrome (28782).

The spelling of 264862296 in words is "two hundred sixty-four million, eight hundred sixty-two thousand, two hundred ninety-six".