264806040 has 256 divisors, whose sum is σ = 890841600. Its totient is φ = 62705664.

The previous prime is 264806039. The next prime is 264806071. The reversal of 264806040 is 40608462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264805989 and 264806007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3627444 + ... + 3627516.

It is an arithmetic number, because the mean of its divisors is an integer number (3479850).

Almost surely, 2^264806040 is an apocalyptic number.

264806040 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 264806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445420800).

264806040 is an abundant number, since it is smaller than the sum of its proper divisors (626035560).

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

264806040 is a wasteful number, since it uses less digits than its factorization.

264806040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 264806040 is about 16272.8620715595. The cubic root of 264806040 is about 642.1590817043.

The spelling of 264806040 in words is "two hundred sixty-four million, eight hundred six thousand, forty".