264361040 has 20 divisors (see below), whose sum is σ = 614639604. Its totient is φ = 105744384.

The previous prime is 264361039. The next prime is 264361049. The reversal of 264361040 is 40163462.

It can be written as a sum of positive squares in 2 ways, for example, as 73479184 + 190881856 = 8572^2 + 13816^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264361049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1652177 + ... + 1652336.

Almost surely, 2^264361040 is an apocalyptic number.

264361040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264361040 is an abundant number, since it is smaller than the sum of its proper divisors (350278564).

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

264361040 is a wasteful number, since it uses less digits than its factorization.

264361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304526 (or 3304520 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 264361040 is about 16259.1832513199. The cubic root of 264361040 is about 641.7991692035.

The spelling of 264361040 in words is "two hundred sixty-four million, three hundred sixty-one thousand, forty".