264845340 has 72 divisors (see below), whose sum is σ = 805000560. Its totient is φ = 70481664.

The previous prime is 264845333. The next prime is 264845353. The reversal of 264845340 is 43548462.

264845340 is a `hidden beast` number, since 2 + 648 + 4 + 5 + 3 + 4 + 0 = 666.

264845340 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 = 264845295 and 264845304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110232 + ... + 112608.

Almost surely, 2^264845340 is an apocalyptic number.

264845340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264845340 is an abundant number, since it is smaller than the sum of its proper divisors (540155220).

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

264845340 is a wasteful number, since it uses less digits than its factorization.

264845340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 264845340 is about 16274.0695586568. The cubic root of 264845340 is about 642.1908478523.

The spelling of 264845340 in words is "two hundred sixty-four million, eight hundred forty-five thousand, three hundred forty".