458640 has 180 divisors, whose sum is σ = 1929564. Its totient is φ = 96768.

The previous prime is 458639. The next prime is 458651. The reversal of 458640 is 46854.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 345744 = 336^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35274 + ... + 35286.

458640 is a Friedman number, since it can be written as 840*546, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 546 ⋅ 840 (with its own digits).

2⁴⁵⁸⁶⁴⁰ is an apocalyptic number.

458640 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 458640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964782).

458640 is an abundant number, since it is smaller than the sum of its proper divisors (1470924).

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

458640 is a wasteful number, since it uses less digits than its factorization.

458640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 458640 is about 677.2296508571. The cubic root of 458640 is about 77.1182755306.

The spelling of 458640 in words is "four hundred fifty-eight thousand, six hundred forty".