264346368 has 288 divisors, whose sum is σ = 865347840. Its totient is φ = 70533120.

The previous prime is 264346361. The next prime is 264346387. The reversal of 264346368 is 863643462.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (264346361) 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, 3184855 + ... + 3184937.

It is an arithmetic number, because the mean of its divisors is an integer number (3004680).

Almost surely, 2^264346368 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 264346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432673920).

264346368 is an abundant number, since it is smaller than the sum of its proper divisors (601001472).

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

264346368 is a wasteful number, since it uses less digits than its factorization.

264346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 264346368 is about 16258.7320538842. The cubic root of 264346368 is about 641.7872957297.

The spelling of 264346368 in words is "two hundred sixty-four million, three hundred forty-six thousand, three hundred sixty-eight".