264730000 has 100 divisors (see below), whose sum is σ = 669385728. Its totient is φ = 101200000.

The previous prime is 264729943. The next prime is 264730007. The reversal of 264730000 is 37462.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264730007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229425 + ... + 230575.

Almost surely, 2^264730000 is an apocalyptic number.

264730000 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 264730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334692864).

264730000 is an abundant number, since it is smaller than the sum of its proper divisors (404655728).

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

264730000 is a wasteful number, since it uses less digits than its factorization.

264730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 264730000 is about 16270.5254985818. The cubic root of 264730000 is about 642.0976097288.

Adding to 264730000 its reverse (37462), we get a palindrome (264767462).

The spelling of 264730000 in words is "two hundred sixty-four million, seven hundred thirty thousand".