264426144 has 48 divisors (see below), whose sum is σ = 696642912. Its totient is φ = 87821568.

The previous prime is 264426137. The next prime is 264426157. The reversal of 264426144 is 441624462.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22302 + ... + 32034.

It is an arithmetic number, because the mean of its divisors is an integer number (14513394).

Almost surely, 2^264426144 is an apocalyptic number.

264426144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264426144 is an abundant number, since it is smaller than the sum of its proper divisors (432216768).

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

264426144 is a wasteful number, since it uses less digits than its factorization.

264426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029 (or 10021 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 264426144 is about 16261.1851966577. The cubic root of 264426144 is about 641.8518500165.

The spelling of 264426144 in words is "two hundred sixty-four million, four hundred twenty-six thousand, one hundred forty-four".