440280 has 48 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 117312.

The previous prime is 440269. The next prime is 440281. The reversal of 440280 is 82044.

440280 = 31² + 32² + ... + 110².

It is a happy number.

440280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 440280.

It is not an unprimeable number, because it can be changed into a prime (440281) by changing a digit.

440280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2⁴⁴⁰²⁸⁰ is an apocalyptic number.

440280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440280 is an abundant number, since it is smaller than the sum of its proper divisors (991800).

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

440280 is a wasteful number, since it uses less digits than its factorization.

440280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 440280 is about 663.5359824456. The cubic root of 440280 is about 76.0751795318.

The spelling of 440280 in words is "four hundred forty thousand, two hundred eighty".