457004982 has 64 divisors (see below), whose sum is σ = 1135987200. Its totient is φ = 119563776.

The previous prime is 457004981. The next prime is 457004993. The reversal of 457004982 is 289400754.

It is a self number, because there is not a number n which added to its sum of digits gives 457004982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457004981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17769 + ... + 35067.

It is an arithmetic number, because the mean of its divisors is an integer number (17749800).

Almost surely, 2^457004982 is an apocalyptic number.

457004982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 457004982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567993600).

457004982 is an abundant number, since it is smaller than the sum of its proper divisors (678982218).

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

457004982 is a wasteful number, since it uses less digits than its factorization.

457004982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17365.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 457004982 is about 21377.6748501796. The cubic root of 457004982 is about 770.2652608321.

The spelling of 457004982 in words is "four hundred fifty-seven million, four thousand, nine hundred eighty-two".