264642352 has 80 divisors (see below), whose sum is σ = 573525792. Its totient is φ = 117504000.

The previous prime is 264642311. The next prime is 264642353. The reversal of 264642352 is 253246462.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (264642353) 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, 1054227 + ... + 1054477.

Almost surely, 2^264642352 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 264642352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286762896).

264642352 is an abundant number, since it is smaller than the sum of its proper divisors (308883440).

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

264642352 is a wasteful number, since it uses less digits than its factorization.

264642352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

The square root of 264642352 is about 16267.8318161948. The cubic root of 264642352 is about 642.0267390512.

The spelling of 264642352 in words is "two hundred sixty-four million, six hundred forty-two thousand, three hundred fifty-two".