457002 has 80 divisors (see below), whose sum is σ = 1300992. Its totient is φ = 116640.

The previous prime is 457001. The next prime is 457003. The reversal of 457002 is 200754.

457002 = 114² + 115² + ... + 141².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457001) and next prime (457003).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (457001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 14727 + ... + 14757.

2⁴⁵⁷⁰⁰² is an apocalyptic number.

457002 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 457002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650496).

457002 is an abundant number, since it is smaller than the sum of its proper divisors (843990).

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

457002 is a wasteful number, since it uses less digits than its factorization.

457002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 457002 is about 676.0192304957. The cubic root of 457002 is about 77.0263585478.

Adding to 457002 its reverse (200754), we get a palindrome (657756).

The spelling of 457002 in words is "four hundred fifty-seven thousand, two".