265233540 has 192 divisors, whose sum is σ = 918973440. Its totient is φ = 56194560.

The previous prime is 265233517. The next prime is 265233587. The reversal of 265233540 is 45332562.

265233540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×265233540³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 265233498 and 265233507.

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, 162207 + ... + 163833.

It is an arithmetic number, because the mean of its divisors is an integer number (4786320).

Almost surely, 2^265233540 is an apocalyptic number.

265233540 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 265233540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459486720).

265233540 is an abundant number, since it is smaller than the sum of its proper divisors (653739900).

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

265233540 is a wasteful number, since it uses less digits than its factorization.

265233540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 265233540 is about 16285.9921404869. The cubic root of 265233540 is about 642.5044607986.

The spelling of 265233540 in words is "two hundred sixty-five million, two hundred thirty-three thousand, five hundred forty".