457620 has 48 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 117376.

The previous prime is 457609. The next prime is 457621. The reversal of 457620 is 26754.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457621) by changing a digit.

457620 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 15 ways as a sum of consecutive naturals, for example, 1609 + ... + 1871.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁴⁵⁷⁶²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

457620 is an abundant number, since it is smaller than the sum of its proper divisors (872940).

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

457620 is a wasteful number, since it uses less digits than its factorization.

457620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 457620 is about 676.4761636599. The cubic root of 457620 is about 77.0610636098.

The spelling of 457620 in words is "four hundred fifty-seven thousand, six hundred twenty".