264225500 has 96 divisors (see below), whose sum is σ = 719566848. Its totient is φ = 82344000.

The previous prime is 264225499. The next prime is 264225539. The reversal of 264225500 is 5522462.

It is a super-2 number, since 2×264225500² = 139630229700500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264225500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35069 + ... + 41931.

It is an arithmetic number, because the mean of its divisors is an integer number (7495488).

Almost surely, 2^264225500 is an apocalyptic number.

264225500 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 264225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359783424).

264225500 is an abundant number, since it is smaller than the sum of its proper divisors (455341348).

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

264225500 is a wasteful number, since it uses less digits than its factorization.

264225500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 264225500 is about 16255.0146108824. The cubic root of 264225500 is about 641.6894652794.

Adding to 264225500 its reverse (5522462), we get a palindrome (269747962).

The spelling of 264225500 in words is "two hundred sixty-four million, two hundred twenty-five thousand, five hundred".