264949072 has 40 divisors (see below), whose sum is σ = 544563360. Its totient is φ = 124525440.

The previous prime is 264949057. The next prime is 264949079. The reversal of 264949072 is 270949462.

It is a super-2 number, since 2×264949072² = 140396021507322368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264949079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36498 + ... + 43150.

It is an arithmetic number, because the mean of its divisors is an integer number (13614084).

Almost surely, 2^264949072 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 264949072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272281680).

264949072 is an abundant number, since it is smaller than the sum of its proper divisors (279614288).

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

264949072 is a wasteful number, since it uses less digits than its factorization.

264949072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 264949072 is about 16277.2562798526. The cubic root of 264949072 is about 642.2746792257.

The spelling of 264949072 in words is "two hundred sixty-four million, nine hundred forty-nine thousand, seventy-two".