264897240 has 128 divisors (see below), whose sum is σ = 841881600. Its totient is φ = 66493440.

The previous prime is 264897229. The next prime is 264897253. The reversal of 264897240 is 42798462.

It is a junction number, because it is equal to n+sod(n) for n = 264897192 and 264897201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508180 + ... + 508700.

It is an arithmetic number, because the mean of its divisors is an integer number (6577200).

Almost surely, 2^264897240 is an apocalyptic number.

264897240 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 264897240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420940800).

264897240 is an abundant number, since it is smaller than the sum of its proper divisors (576984360).

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

264897240 is a wasteful number, since it uses less digits than its factorization.

264897240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 264897240 is about 16275.6640417526. The cubic root of 264897240 is about 642.2327937518.

The spelling of 264897240 in words is "two hundred sixty-four million, eight hundred ninety-seven thousand, two hundred forty".