264730240 has 64 divisors (see below), whose sum is σ = 643340520. Its totient is φ = 104140800.

The previous prime is 264730229. The next prime is 264730247. The reversal of 264730240 is 42037462.

It can be written as a sum of positive squares in 4 ways, for example, as 128867904 + 135862336 = 11352^2 + 11656^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 264730199 and 264730208.

It is not an unprimeable number, because it can be changed into a prime (264730247) 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, 35650 + ... + 42430.

Almost surely, 2^264730240 is an apocalyptic number.

264730240 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 264730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321670260).

264730240 is an abundant number, since it is smaller than the sum of its proper divisors (378610280).

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

264730240 is an equidigital number, since it uses as much as digits as its factorization.

264730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 264730240 is about 16270.5328738797. The cubic root of 264730240 is about 642.0978037672.

The spelling of 264730240 in words is "two hundred sixty-four million, seven hundred thirty thousand, two hundred forty".