458992640 has 88 divisors (see below), whose sum is σ = 1109998032. Its totient is φ = 182108160.

The previous prime is 458992637. The next prime is 458992643. The reversal of 458992640 is 46299854.

It is an interprime number because it is at equal distance from previous prime (458992637) and next prime (458992643).

It is a super-3 number, since 3×458992640³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (458992643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 803555 + ... + 804125.

It is an arithmetic number, because the mean of its divisors is an integer number (12613614).

Almost surely, 2^458992640 is an apocalyptic number.

458992640 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 458992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554999016).

458992640 is an abundant number, since it is smaller than the sum of its proper divisors (651005392).

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

458992640 is a wasteful number, since it uses less digits than its factorization.

458992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 458992640 is about 21424.1135172497. The cubic root of 458992640 is about 771.3803541618.

The spelling of 458992640 in words is "four hundred fifty-eight million, nine hundred ninety-two thousand, six hundred forty".