265405680 has 320 divisors, whose sum is σ = 999936000. Its totient is φ = 64447488.

The previous prime is 265405619. The next prime is 265405691. The reversal of 265405680 is 86504562.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1190049 + ... + 1190271.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^265405680 is an apocalyptic number.

265405680 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 265405680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

265405680 is an abundant number, since it is smaller than the sum of its proper divisors (734530320).

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

265405680 is a wasteful number, since it uses less digits than its factorization.

265405680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 265405680 is about 16291.2761931041. The cubic root of 265405680 is about 642.6434286423.

It can be divided in two parts, 265405 and 680, that added together give a triangular number (266085 = T₇₂₉).

The spelling of 265405680 in words is "two hundred sixty-five million, four hundred five thousand, six hundred eighty".