458040 has 64 divisors (see below), whose sum is σ = 1503360. Its totient is φ = 110720.

The previous prime is 458039. The next prime is 458047. The reversal of 458040 is 40854.

It is a junction number, because it is equal to n+sod(n) for n = 457998 and 458016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (23490).

2⁴⁵⁸⁰⁴⁰ is an apocalyptic number.

458040 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 458040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751680).

458040 is an abundant number, since it is smaller than the sum of its proper divisors (1045320).

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

458040 is a wasteful number, since it uses less digits than its factorization.

458040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

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

The square root of 458040 is about 676.7865246885. The cubic root of 458040 is about 77.0846317450.

Adding to 458040 its reverse (40854), we get a palindrome (498894).

The spelling of 458040 in words is "four hundred fifty-eight thousand, forty".