457020224 has 84 divisors (see below), whose sum is σ = 970836768. Its totient is φ = 213408000.

The previous prime is 457020217. The next prime is 457020227. The reversal of 457020224 is 422020754.

It is a junction number, because it is equal to n+sod(n) for n = 457020193 and 457020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457020227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3026549 + ... + 3026699.

Almost surely, 2^457020224 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 457020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485418384).

457020224 is an abundant number, since it is smaller than the sum of its proper divisors (513816544).

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

457020224 is a wasteful number, since it uses less digits than its factorization.

457020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 457020224 is about 21378.0313406076. The cubic root of 457020224 is about 770.2738240156.

Adding to 457020224 its reverse (422020754), we get a palindrome (879040978).

The spelling of 457020224 in words is "four hundred fifty-seven million, twenty thousand, two hundred twenty-four".