440480 has 24 divisors (see below), whose sum is σ = 1041012. Its totient is φ = 176128.

The previous prime is 440471. The next prime is 440497. The reversal of 440480 is 84044.

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 15376 = 652^2 + 124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1217 + ... + 1536.

2⁴⁴⁰⁴⁸⁰ is an apocalyptic number.

440480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440480 is an abundant number, since it is smaller than the sum of its proper divisors (600532).

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

440480 is a wasteful number, since it uses less digits than its factorization.

440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 440480 is about 663.6866730619. The cubic root of 440480 is about 76.0866970000.

The spelling of 440480 in words is "four hundred forty thousand, four hundred eighty".