40455 has 24 divisors (see below), whose sum is σ = 74880. Its totient is φ = 20160.

The previous prime is 40433. The next prime is 40459. The reversal of 40455 is 55404.

40455 = 20² + 21² + ... + 50².

It is a happy number.

40455 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40455 - 2⁵ = 40423 is a prime.

40455 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290 + ... + 1320.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

2⁴⁰⁴⁵⁵ is an apocalyptic number.

40455 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40455 is a deficient number, since it is larger than the sum of its proper divisors (34425).

40455 is a wasteful number, since it uses less digits than its factorization.

40455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40455 is about 201.1342835023. The cubic root of 40455 is about 34.3287035158.

Adding to 40455 its reverse (55404), we get a palindrome (95859).

The spelling of 40455 in words is "forty thousand, four hundred fifty-five".