457501840 has 20 divisors (see below), whose sum is σ = 1063691964. Its totient is φ = 183000704.

The previous prime is 457501829. The next prime is 457501859. The reversal of 457501840 is 48105754.

It can be written as a sum of positive squares in 2 ways, for example, as 322849024 + 134652816 = 17968^2 + 11604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 457501796 and 457501805.

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 3 ways as a sum of consecutive naturals, for example, 2859307 + ... + 2859466.

Almost surely, 2^457501840 is an apocalyptic number.

457501840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457501840 is an abundant number, since it is smaller than the sum of its proper divisors (606190124).

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

457501840 is a wasteful number, since it uses less digits than its factorization.

457501840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718786 (or 5718780 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 457501840 is about 21389.2926484258. The cubic root of 457501840 is about 770.5443050878.

The spelling of 457501840 in words is "four hundred fifty-seven million, five hundred one thousand, eight hundred forty".