457840 has 40 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 178176.

The previous prime is 457837. The next prime is 457871. The reversal of 457840 is 48754.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 457799 and 457808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4672 + ... + 4768.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁴⁵⁷⁸⁴⁰ is an apocalyptic number.

457840 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 457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840).

457840 is an abundant number, since it is smaller than the sum of its proper divisors (635840).

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

457840 is a wasteful number, since it uses less digits than its factorization.

457840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 457840 is about 676.6387514767. The cubic root of 457840 is about 77.0734106211.

The spelling of 457840 in words is "four hundred fifty-seven thousand, eight hundred forty".