264353060 has 48 divisors (see below), whose sum is σ = 589543920. Its totient is φ = 99225600.

The previous prime is 264353059. The next prime is 264353071. The reversal of 264353060 is 60353462.

264353060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1459264 + 262893796 = 1208^2 + 16214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138110 + ... + 140010.

It is an arithmetic number, because the mean of its divisors is an integer number (12282165).

Almost surely, 2^264353060 is an apocalyptic number.

264353060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264353060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294771960).

264353060 is an abundant number, since it is smaller than the sum of its proper divisors (325190860).

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

264353060 is a wasteful number, since it uses less digits than its factorization.

264353060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 264353060 is about 16258.9378496875. The cubic root of 264353060 is about 641.7927113571.

The spelling of 264353060 in words is "two hundred sixty-four million, three hundred fifty-three thousand, sixty".