264916050 has 192 divisors, whose sum is σ = 809472000. Its totient is φ = 57153600.

The previous prime is 264916033. The next prime is 264916063. The reversal of 264916050 is 50619462.

264916050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×264916050³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 977415 + ... + 977685.

It is an arithmetic number, because the mean of its divisors is an integer number (4216000).

Almost surely, 2^264916050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264916050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404736000).

264916050 is an abundant number, since it is smaller than the sum of its proper divisors (544555950).

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

264916050 is a wasteful number, since it uses less digits than its factorization.

264916050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

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

The square root of 264916050 is about 16276.2418881018. The cubic root of 264916050 is about 642.2479947570.

The spelling of 264916050 in words is "two hundred sixty-four million, nine hundred sixteen thousand, fifty".