264896730 has 224 divisors, whose sum is σ = 849916800. Its totient is φ = 58133376.

The previous prime is 264896729. The next prime is 264896743. The reversal of 264896730 is 37698462.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 111 ways as a sum of consecutive naturals, for example, 1479781 + ... + 1479959.

Almost surely, 2^264896730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264896730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424958400).

264896730 is an abundant number, since it is smaller than the sum of its proper divisors (585020070).

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

264896730 is a wasteful number, since it uses less digits than its factorization.

264896730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 264896730 is about 16275.6483741816. The cubic root of 264896730 is about 642.2323815934.

The spelling of 264896730 in words is "two hundred sixty-four million, eight hundred ninety-six thousand, seven hundred thirty".