264333132 has 60 divisors (see below), whose sum is σ = 789742800. Its totient is φ = 75523104.

The previous prime is 264333049. The next prime is 264333133. The reversal of 264333132 is 231333462.

It is a happy number.

264333132 is a `hidden beast` number, since 2 + 643 + 3 + 3 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 264333096 and 264333105.

It is not an unprimeable number, because it can be changed into a prime (264333133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56007 + ... + 60542.

It is an arithmetic number, because the mean of its divisors is an integer number (13162380).

Almost surely, 2^264333132 is an apocalyptic number.

It is an amenable number.

264333132 is an abundant number, since it is smaller than the sum of its proper divisors (525409668).

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

264333132 is a wasteful number, since it uses less digits than its factorization.

264333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116572 (or 116561 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 264333132 is about 16258.3250059777. The cubic root of 264333132 is about 641.7765839774.

Adding to 264333132 its reverse (231333462), we get a palindrome (495666594).

The spelling of 264333132 in words is "two hundred sixty-four million, three hundred thirty-three thousand, one hundred thirty-two".