264321252 has 96 divisors (see below), whose sum is σ = 761922560. Its totient is φ = 78693120.

The previous prime is 264321251. The next prime is 264321259. The reversal of 264321252 is 252123462.

It is a happy number.

264321252 is a `hidden beast` number, since 2 + 643 + 2 + 12 + 5 + 2 = 666.

264321252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (264321251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40488 + ... + 46560.

Almost surely, 2^264321252 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 264321252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380961280).

264321252 is an abundant number, since it is smaller than the sum of its proper divisors (497601308).

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

264321252 is a wasteful number, since it uses less digits than its factorization.

264321252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 6122 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 264321252 is about 16257.9596505835. The cubic root of 264321252 is about 641.7669693168.

The spelling of 264321252 in words is "two hundred sixty-four million, three hundred twenty-one thousand, two hundred fifty-two".