264537440 has 48 divisors (see below), whose sum is σ = 634323312. Its totient is φ = 104231424.

The previous prime is 264537439. The next prime is 264537443. The reversal of 264537440 is 44735462.

It is a self number, because there is not a number n which added to its sum of digits gives 264537440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264537443) 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, 1619 + ... + 23058.

It is an arithmetic number, because the mean of its divisors is an integer number (13215069).

Almost surely, 2^264537440 is an apocalyptic number.

264537440 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 264537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317161656).

264537440 is an abundant number, since it is smaller than the sum of its proper divisors (369785872).

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

264537440 is a wasteful number, since it uses less digits than its factorization.

264537440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24759 (or 24751 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 264537440 is about 16264.6069734255. The cubic root of 264537440 is about 641.9418884200.

The spelling of 264537440 in words is "two hundred sixty-four million, five hundred thirty-seven thousand, four hundred forty".