264446240 has 24 divisors (see below), whose sum is σ = 624754620. Its totient is φ = 105778432.

The previous prime is 264446219. The next prime is 264446257. The reversal of 264446240 is 42644462.

It can be written as a sum of positive squares in 2 ways, for example, as 261016336 + 3429904 = 16156^2 + 1852^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 264446197 and 264446206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 826235 + ... + 826554.

Almost surely, 2^264446240 is an apocalyptic number.

264446240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264446240 is an abundant number, since it is smaller than the sum of its proper divisors (360308380).

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

264446240 is a wasteful number, since it uses less digits than its factorization.

264446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652804 (or 1652796 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 264446240 is about 16261.8030980577. The cubic root of 264446240 is about 641.8681095384.

It can be divided in two parts, 2644 and 46240, that added together give a palindrome (48884).

The spelling of 264446240 in words is "two hundred sixty-four million, four hundred forty-six thousand, two hundred forty".