264207940 has 24 divisors (see below), whose sum is σ = 556136280. Its totient is φ = 105435648.

The previous prime is 264207919. The next prime is 264207941. The reversal of 264207940 is 49702462.

It can be written as a sum of positive squares in 4 ways, for example, as 20286016 + 243921924 = 4504^2 + 15618^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 264207896 and 264207905.

It is not an unprimeable number, because it can be changed into a prime (264207941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6595 + ... + 23914.

It is an arithmetic number, because the mean of its divisors is an integer number (23172345).

Almost surely, 2^264207940 is an apocalyptic number.

264207940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264207940 is an abundant number, since it is smaller than the sum of its proper divisors (291928340).

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

264207940 is a wasteful number, since it uses less digits than its factorization.

264207940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30951 (or 30949 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 264207940 is about 16254.4744608985. The cubic root of 264207940 is about 641.6752497493.

The spelling of 264207940 in words is "two hundred sixty-four million, two hundred seven thousand, nine hundred forty".