264565440 has 280 divisors, whose sum is σ = 962588880. Its totient is φ = 68954112.

The previous prime is 264565423. The next prime is 264565447. The reversal of 264565440 is 44565462.

264565440 is a `hidden beast` number, since 2 + 64 + 56 + 544 + 0 = 666.

264565440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 264565395 and 264565404.

It is not an unprimeable number, because it can be changed into a prime (264565447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1529194 + ... + 1529366.

Almost surely, 2^264565440 is an apocalyptic number.

264565440 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 264565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481294440).

264565440 is an abundant number, since it is smaller than the sum of its proper divisors (698023440).

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

264565440 is a wasteful number, since it uses less digits than its factorization.

264565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 264565440 is about 16265.4677153779. The cubic root of 264565440 is about 641.9645364287.

The spelling of 264565440 in words is "two hundred sixty-four million, five hundred sixty-five thousand, four hundred forty".