264444880 has 80 divisors (see below), whose sum is σ = 725382144. Its totient is φ = 87736320.

The previous prime is 264444871. The next prime is 264444893. The reversal of 264444880 is 88444462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9744 + ... + 24976.

Almost surely, 2^264444880 is an apocalyptic number.

264444880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362691072).

264444880 is an abundant number, since it is smaller than the sum of its proper divisors (460937264).

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

264444880 is a wasteful number, since it uses less digits than its factorization.

264444880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15284 (or 15278 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The square root of 264444880 is about 16261.7612822228. The cubic root of 264444880 is about 641.8670091986.

It can be divided in two parts, 2644 and 44880, that added together give a square (47524 = 218²).

The spelling of 264444880 in words is "two hundred sixty-four million, four hundred forty-four thousand, eight hundred eighty".