40520 has 16 divisors (see below), whose sum is σ = 91260. Its totient is φ = 16192.

The previous prime is 40519. The next prime is 40529. The reversal of 40520 is 2504.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 7396 = 182^2 + 86^2 .

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40520.

It is not an unprimeable number, because it can be changed into a prime (40529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 467 + ... + 546.

2⁴⁰⁵²⁰ is an apocalyptic number.

40520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40520 is an abundant number, since it is smaller than the sum of its proper divisors (50740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45630).

40520 is a wasteful number, since it uses less digits than its factorization.

40520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 40520 is about 201.2958022414. The cubic root of 40520 is about 34.3470792562.

It can be divided in two parts, 405 and 20, that multiplied together give a square (8100 = 90²).

The spelling of 40520 in words is "forty thousand, five hundred twenty".