264447120 has 240 divisors, whose sum is σ = 966902400. Its totient is φ = 59609088.

The previous prime is 264447107. The next prime is 264447151. The reversal of 264447120 is 21744462.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328781 + ... + 1328979.

It is an arithmetic number, because the mean of its divisors is an integer number (4028760).

Almost surely, 2^264447120 is an apocalyptic number.

264447120 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 264447120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483451200).

264447120 is an abundant number, since it is smaller than the sum of its proper divisors (702455280).

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

264447120 is a wasteful number, since it uses less digits than its factorization.

264447120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 264447120 is about 16261.8301553054. The cubic root of 264447120 is about 641.8688215209.

The spelling of 264447120 in words is "two hundred sixty-four million, four hundred forty-seven thousand, one hundred twenty".