457020 has 36 divisors (see below), whose sum is σ = 1386840. Its totient is φ = 121824.

The previous prime is 457013. The next prime is 457021. The reversal of 457020 is 20754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 456984 and 457002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457021) by changing a digit.

457020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1090 + ... + 1449.

2⁴⁵⁷⁰²⁰ is an apocalyptic number.

It is an amenable number.

457020 is an abundant number, since it is smaller than the sum of its proper divisors (929820).

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

457020 is a wasteful number, since it uses less digits than its factorization.

457020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2549 counting only the distinct ones).

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

The square root of 457020 is about 676.0325435954. The cubic root of 457020 is about 77.0273698170.

Adding to 457020 its reverse (20754), we get a palindrome (477774).

The spelling of 457020 in words is "four hundred fifty-seven thousand, twenty".