264080448 has 168 divisors, whose sum is σ = 811301400. Its totient is φ = 81838080.

The previous prime is 264080447. The next prime is 264080471. The reversal of 264080448 is 844080462.

264080448 is a `hidden beast` number, since 2 + 640 + 8 + 0 + 4 + 4 + 8 = 666.

264080448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 263997504 = 288^2 + 16248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264080447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1458918 + ... + 1459098.

It is an arithmetic number, because the mean of its divisors is an integer number (4829175).

Almost surely, 2^264080448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405650700).

264080448 is an abundant number, since it is smaller than the sum of its proper divisors (547220952).

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

264080448 is a wasteful number, since it uses less digits than its factorization.

264080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 264080448 is about 16250.5522367703. The cubic root of 264080448 is about 641.5720209274.

The spelling of 264080448 in words is "two hundred sixty-four million, eighty thousand, four hundred forty-eight".