264080430 has 96 divisors (see below), whose sum is σ = 726429600. Its totient is φ = 66375936.

The previous prime is 264080423. The next prime is 264080447. The reversal of 264080430 is 34080462.

It is a super-5 number, since 5×264080430⁵ (a number of 43 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264080394 and 264080403.

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 47 ways as a sum of consecutive naturals, for example, 664992 + ... + 665388.

It is an arithmetic number, because the mean of its divisors is an integer number (7566975).

Almost surely, 2^264080430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264080430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363214800).

264080430 is an abundant number, since it is smaller than the sum of its proper divisors (462349170).

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

264080430 is a wasteful number, since it uses less digits than its factorization.

264080430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 264080430 is about 16250.5516829430. The cubic root of 264080430 is about 641.5720063506.

The spelling of 264080430 in words is "two hundred sixty-four million, eighty thousand, four hundred thirty".