264342408 has 96 divisors (see below), whose sum is σ = 731414880. Its totient is φ = 79552000.

The previous prime is 264342391. The next prime is 264342409. The reversal of 264342408 is 804243462.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (264342409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659008 + ... + 659408.

It is an arithmetic number, because the mean of its divisors is an integer number (7618905).

Almost surely, 2^264342408 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 264342408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365707440).

264342408 is an abundant number, since it is smaller than the sum of its proper divisors (467072472).

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

264342408 is a wasteful number, since it uses less digits than its factorization.

264342408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 264342408 is about 16258.6102727140. The cubic root of 264342408 is about 641.7840909818.

It can be divided in two parts, 26 and 4342408, that added together give a palindrome (4342434).

The spelling of 264342408 in words is "two hundred sixty-four million, three hundred forty-two thousand, four hundred eight".