457301221 has 8 divisors (see below), whose sum is σ = 492671480. Its totient is φ = 421958592.

The previous prime is 457301213. The next prime is 457301231. The reversal of 457301221 is 122103754.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 272613121 + 184688100 = 16511^2 + 13590^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 457301221 - 2³ = 457301213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457301231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38635 + ... + 49063.

It is an arithmetic number, because the mean of its divisors is an integer number (61583935).

Almost surely, 2^457301221 is an apocalyptic number.

It is an amenable number.

457301221 is a deficient number, since it is larger than the sum of its proper divisors (35370259).

457301221 is a wasteful number, since it uses less digits than its factorization.

457301221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13815.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 457301221 is about 21384.6024279153. The cubic root of 457301221 is about 770.4316582335.

Adding to 457301221 its reverse (122103754), we get a palindrome (579404975).

The spelling of 457301221 in words is "four hundred fifty-seven million, three hundred one thousand, two hundred twenty-one".