40360 has 16 divisors (see below), whose sum is σ = 90900. Its totient is φ = 16128.

The previous prime is 40357. The next prime is 40361. The reversal of 40360 is 6304.

Adding to 40360 its reverse (6304), we get a palindrome (46664).

It can be divided in two parts, 40 and 360, that multiplied together give a square (14400 = 120^{2}).

40360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 1156 = 198^2 + 34^2 .

40360 is a modest number, since divided by 360 gives 40 as remainder.

It is a self number, because there is not a number *n* which added to its sum of digits gives 40360.

It is not an unprimeable number, because it can be changed into a prime (40361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 465 + ... + 544.

2^{40360} is an apocalyptic number.

40360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40360 is an abundant number, since it is smaller than the sum of its proper divisors (50540).

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 (45450).

40360 is a wasteful number, since it uses less digits than its factorization.

40360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 40360 is about 200.8979840616. The cubic root of 40360 is about 34.3018112245.

The spelling of 40360 in words is "forty thousand, three hundred sixty".

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