264660440 has 64 divisors (see below), whose sum is σ = 657538560. Its totient is φ = 95067520.

The previous prime is 264660427. The next prime is 264660449. The reversal of 264660440 is 44066462.

It is a junction number, because it is equal to n+sod(n) for n = 264660397 and 264660406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264660449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32897 + ... + 40143.

It is an arithmetic number, because the mean of its divisors is an integer number (10274040).

Almost surely, 2^264660440 is an apocalyptic number.

264660440 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 264660440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328769280).

264660440 is an abundant number, since it is smaller than the sum of its proper divisors (392878120).

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

264660440 is a wasteful number, since it uses less digits than its factorization.

264660440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 264660440 is about 16268.3877504810. The cubic root of 264660440 is about 642.0413659807.

The spelling of 264660440 in words is "two hundred sixty-four million, six hundred sixty thousand, four hundred forty".