264114448 has 80 divisors (see below), whose sum is σ = 589556016. Its totient is φ = 113541120.

The previous prime is 264114439. The next prime is 264114449. The reversal of 264114448 is 844411462.

It can be written as a sum of positive squares in 8 ways, for example, as 12194064 + 251920384 = 3492^2 + 15872^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (264114449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399238 + ... + 399898.

Almost surely, 2^264114448 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 264114448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294778008).

264114448 is an abundant number, since it is smaller than the sum of its proper divisors (325441568).

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

264114448 is a wasteful number, since it uses less digits than its factorization.

264114448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 264114448 is about 16251.5983213960. The cubic root of 264114448 is about 641.5995535887.

The spelling of 264114448 in words is "two hundred sixty-four million, one hundred fourteen thousand, four hundred forty-eight".