458689140 has 288 divisors, whose sum is σ = 1756774656. Its totient is φ = 94279680.

The previous prime is 458689129. The next prime is 458689141. The reversal of 458689140 is 41986854.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458689141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671239 + ... + 671921.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2^458689140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458689140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878387328).

458689140 is an abundant number, since it is smaller than the sum of its proper divisors (1298085516).

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

458689140 is a wasteful number, since it uses less digits than its factorization.

458689140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 458689140 is about 21417.0292057512. The cubic root of 458689140 is about 771.2102965638.

The spelling of 458689140 in words is "four hundred fifty-eight million, six hundred eighty-nine thousand, one hundred forty".