265456416 has 48 divisors (see below), whose sum is σ = 702342144. Its totient is φ = 87784704.

The previous prime is 265456349. The next prime is 265456417. The reversal of 265456416 is 614654562.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (265456417) 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 7 ways as a sum of consecutive naturals, for example, 1306 + ... + 23078.

It is an arithmetic number, because the mean of its divisors is an integer number (14632128).

Almost surely, 2^265456416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351171072).

265456416 is an abundant number, since it is smaller than the sum of its proper divisors (436885728).

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

265456416 is a wasteful number, since it uses less digits than its factorization.

265456416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21913 (or 21905 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 265456416 is about 16292.8332711042. The cubic root of 265456416 is about 642.6843761201.

The spelling of 265456416 in words is "two hundred sixty-five million, four hundred fifty-six thousand, four hundred sixteen".