40480 has 48 divisors (see below), whose sum is σ = 108864. Its totient is φ = 14080.

The previous prime is 40471. The next prime is 40483. The reversal of 40480 is 8404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1749 + ... + 1771.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2⁴⁰⁴⁸⁰ is an apocalyptic number.

40480 is a gapful number since it is divisible by the number (40) 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 40480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

40480 is an abundant number, since it is smaller than the sum of its proper divisors (68384).

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

40480 is a wasteful number, since it uses less digits than its factorization.

40480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 40480 is about 201.1964214393. The cubic root of 40480 is about 34.3357734360.

Adding to 40480 its reverse (8404), we get a palindrome (48884).

It can be divided in two parts, 404 and 80, that added together give a palindrome (484).

The spelling of 40480 in words is "forty thousand, four hundred eighty".