264046208 has 64 divisors (see below), whose sum is σ = 545740800. Its totient is φ = 127153152.

The previous prime is 264046201. The next prime is 264046213. The reversal of 264046208 is 802640462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (264046201) 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 7 ways as a sum of consecutive naturals, for example, 601253 + ... + 601691.

It is an arithmetic number, because the mean of its divisors is an integer number (8527200).

Almost surely, 2^264046208 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 264046208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272870400).

264046208 is an abundant number, since it is smaller than the sum of its proper divisors (281694592).

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

264046208 is a wasteful number, since it uses less digits than its factorization.

264046208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 264046208 is about 16249.4986999599. The cubic root of 264046208 is about 641.5442915294.

The spelling of 264046208 in words is "two hundred sixty-four million, forty-six thousand, two hundred eight".