458639940 has 192 divisors, whose sum is σ = 1521047808. Its totient is φ = 101990400.

The previous prime is 458639903. The next prime is 458639977. The reversal of 458639940 is 49936854.

It is an interprime number because it is at equal distance from previous prime (458639903) and next prime (458639977).

It is a self number, because there is not a number n which added to its sum of digits gives 458639940.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 459522 + ... + 460518.

It is an arithmetic number, because the mean of its divisors is an integer number (7922124).

Almost surely, 2^458639940 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 458639940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760523904).

458639940 is an abundant number, since it is smaller than the sum of its proper divisors (1062407868).

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

458639940 is a wasteful number, since it uses less digits than its factorization.

458639940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 458639940 is about 21415.8805562601. The cubic root of 458639940 is about 771.1827216770.

The spelling of 458639940 in words is "four hundred fifty-eight million, six hundred thirty-nine thousand, nine hundred forty".