264224000 has 144 divisors (see below), whose sum is σ = 688746240. Its totient is φ = 100812800.

The previous prime is 264223991. The next prime is 264224029. The reversal of 264224000 is 422462.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 735821 + ... + 736179.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^264224000 is an apocalyptic number.

264224000 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 264224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

264224000 is an abundant number, since it is smaller than the sum of its proper divisors (424522240).

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

264224000 is an equidigital number, since it uses as much as digits as its factorization.

264224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 264224000 is about 16254.9684712090. The cubic root of 264224000 is about 641.6882509934.

Adding to 264224000 its reverse (422462), we get a palindrome (264646462).

The spelling of 264224000 in words is "two hundred sixty-four million, two hundred twenty-four thousand".