265248000 has 288 divisors, whose sum is σ = 982101120. Its totient is φ = 70502400.

The previous prime is 265247989. The next prime is 265248017. The reversal of 265248000 is 842562.

265248000 is a `hidden beast` number, since 2 + 652 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863847 + ... + 864153.

Almost surely, 2^265248000 is an apocalyptic number.

265248000 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 265248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491050560).

265248000 is an abundant number, since it is smaller than the sum of its proper divisors (716853120).

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

265248000 is an equidigital number, since it uses as much as digits as its factorization.

265248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 265248000 is about 16286.4360742306. The cubic root of 265248000 is about 642.5161366041.

The spelling of 265248000 in words is "two hundred sixty-five million, two hundred forty-eight thousand".