264233984 has 88 divisors (see below), whose sum is σ = 609973248. Its totient is φ = 112066560.

The previous prime is 264233947. The next prime is 264233989. The reversal of 264233984 is 489332462.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (264233989) 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, 1368992 + ... + 1369184.

Almost surely, 2^264233984 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 264233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304986624).

264233984 is an abundant number, since it is smaller than the sum of its proper divisors (345739264).

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

264233984 is a wasteful number, since it uses less digits than its factorization.

264233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 393 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 264233984 is about 16255.2755744097. The cubic root of 264233984 is about 641.6963331948.

The spelling of 264233984 in words is "two hundred sixty-four million, two hundred thirty-three thousand, nine hundred eighty-four".