264405440 has 56 divisors (see below), whose sum is σ = 678058080. Its totient is φ = 97625088.

The previous prime is 264405439. The next prime is 264405443. The reversal of 264405440 is 44504462.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264405443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27620 + ... + 35939.

It is an arithmetic number, because the mean of its divisors is an integer number (12108180).

Almost surely, 2^264405440 is an apocalyptic number.

264405440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264405440 is an abundant number, since it is smaller than the sum of its proper divisors (413652640).

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

264405440 is a wasteful number, since it uses less digits than its factorization.

264405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63589 (or 63579 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 264405440 is about 16260.5485762320. The cubic root of 264405440 is about 641.8350977048.

The spelling of 264405440 in words is "two hundred sixty-four million, four hundred five thousand, four hundred forty".