264344440 has 32 divisors (see below), whose sum is σ = 613964160. Its totient is φ = 102326400.

The previous prime is 264344419. The next prime is 264344447. The reversal of 264344440 is 44443462.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264344447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105351 + ... + 107830.

It is an arithmetic number, because the mean of its divisors is an integer number (19186380).

Almost surely, 2^264344440 is an apocalyptic number.

264344440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264344440 is an abundant number, since it is smaller than the sum of its proper divisors (349619720).

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

264344440 is a wasteful number, since it uses less digits than its factorization.

264344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213223 (or 213219 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

The square root of 264344440 is about 16258.6727625597. The cubic root of 264344440 is about 641.7857354423.

The spelling of 264344440 in words is "two hundred sixty-four million, three hundred forty-four thousand, four hundred forty".