264212328 has 64 divisors (see below), whose sum is σ = 700761600. Its totient is φ = 82779840.

The previous prime is 264212327. The next prime is 264212329. The reversal of 264212328 is 823212462.

It is an interprime number because it is at equal distance from previous prime (264212327) and next prime (264212329).

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 = 264212295 and 264212304.

It is not an unprimeable number, because it can be changed into a prime (264212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57525 + ... + 61947.

It is an arithmetic number, because the mean of its divisors is an integer number (10949400).

Almost surely, 2^264212328 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 264212328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350380800).

264212328 is an abundant number, since it is smaller than the sum of its proper divisors (436549272).

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

264212328 is a wasteful number, since it uses less digits than its factorization.

264212328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4578 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 264212328 is about 16254.6094385562. The cubic root of 264212328 is about 641.6788020718.

The spelling of 264212328 in words is "two hundred sixty-four million, two hundred twelve thousand, three hundred twenty-eight".