265440120 has 192 divisors, whose sum is σ = 888844320. Its totient is φ = 63360000.

The previous prime is 265440113. The next prime is 265440151. The reversal of 265440120 is 21044562.

It is a super-2 number, since 2×265440120² = 140916914611228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1466430 + ... + 1466610.

Almost surely, 2^265440120 is an apocalyptic number.

265440120 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 265440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444422160).

265440120 is an abundant number, since it is smaller than the sum of its proper divisors (623404200).

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

265440120 is a wasteful number, since it uses less digits than its factorization.

265440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 265440120 is about 16292.3331662472. Note that the first 3 decimals coincide. The cubic root of 265440120 is about 642.6712246845.

Adding to 265440120 its reverse (21044562), we get a palindrome (286484682).

The spelling of 265440120 in words is "two hundred sixty-five million, four hundred forty thousand, one hundred twenty".