40458 has 16 divisors (see below), whose sum is σ = 88416. Its totient is φ = 12240.

The previous prime is 40433. The next prime is 40459. The reversal of 40458 is 85404.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40459) 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 7 ways as a sum of consecutive naturals, for example, 241 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (5526).

2⁴⁰⁴⁵⁸ is an apocalyptic number.

40458 is an abundant number, since it is smaller than the sum of its proper divisors (47958).

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 (44208).

40458 is a wasteful number, since it uses less digits than its factorization.

40458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 40458 is about 201.1417410683. The cubic root of 40458 is about 34.3295520600.

It can be divided in two parts, 404 and 58, that multiplied together give a palindrome (23432).

The spelling of 40458 in words is "forty thousand, four hundred fifty-eight".