264205600 has 144 divisors (see below), whose sum is σ = 685081152. Its totient is φ = 99292160.

The previous prime is 264205561. The next prime is 264205607. The reversal of 264205600 is 6502462.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (264205607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1527114 + ... + 1527286.

It is an arithmetic number, because the mean of its divisors is an integer number (4757508).

Almost surely, 2^264205600 is an apocalyptic number.

264205600 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 264205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342540576).

264205600 is an abundant number, since it is smaller than the sum of its proper divisors (420875552).

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

264205600 is a wasteful number, since it uses less digits than its factorization.

264205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 264205600 is about 16254.4024805589. The cubic root of 264205600 is about 641.6733553771.

The spelling of 264205600 in words is "two hundred sixty-four million, two hundred five thousand, six hundred".