264785248 has 96 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 103334400.

The previous prime is 264785239. The next prime is 264785249. The reversal of 264785248 is 842587462.

It is a super-2 number, since 2×264785248² = 140222455116843008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264785198 and 264785207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264785249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 229473 + ... + 230623.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760).

Almost surely, 2^264785248 is an apocalyptic number.

264785248 is a gapful number since it is divisible by the number (28) 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 264785248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

264785248 is an abundant number, since it is smaller than the sum of its proper divisors (385495712).

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

264785248 is a wasteful number, since it uses less digits than its factorization.

264785248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1252 counting only the distinct ones).

The product of its digits is 860160, while the sum is 46.

The square root of 264785248 is about 16272.2232039755. The cubic root of 264785248 is about 642.1422742817.

The spelling of 264785248 in words is "two hundred sixty-four million, seven hundred eighty-five thousand, two hundred forty-eight".