264509016 has 64 divisors (see below), whose sum is σ = 694137600. Its totient is φ = 83833728.

The previous prime is 264508943. The next prime is 264509033. The reversal of 264509016 is 610905462.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97470 + ... + 100146.

It is an arithmetic number, because the mean of its divisors is an integer number (10845900).

Almost surely, 2^264509016 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 264509016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347068800).

264509016 is an abundant number, since it is smaller than the sum of its proper divisors (429628584).

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

264509016 is a wasteful number, since it uses less digits than its factorization.

264509016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 264509016 is about 16263.7331507868. The cubic root of 264509016 is about 641.9188958210.

The spelling of 264509016 in words is "two hundred sixty-four million, five hundred nine thousand, sixteen".