264315000 has 160 divisors (see below), whose sum is σ = 841230720. Its totient is φ = 69168000.

The previous prime is 264314993. The next prime is 264315001. The reversal of 264315000 is 513462.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264315001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1004869 + ... + 1005131.

It is an arithmetic number, because the mean of its divisors is an integer number (5257692).

Almost surely, 2^264315000 is an apocalyptic number.

264315000 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 264315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420615360).

264315000 is an abundant number, since it is smaller than the sum of its proper divisors (576915720).

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

264315000 is a wasteful number, since it uses less digits than its factorization.

264315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 264315000 is about 16257.7673743968. The cubic root of 264315000 is about 641.7619093646.

Adding to 264315000 its reverse (513462), we get a palindrome (264828462).

The spelling of 264315000 in words is "two hundred sixty-four million, three hundred fifteen thousand".