457228801 has 2 divisors, whose sum is σ = 457228802. Its totient is φ = 457228800.

The previous prime is 457228789. The next prime is 457228813. The reversal of 457228801 is 108822754.

It is a balanced prime because it is at equal distance from previous prime (457228789) and next prime (457228813).

It can be written as a sum of positive squares in only one way, i.e., 259854400 + 197374401 = 16120^2 + 14049^2 .

It is a cyclic number.

It is not a de Polignac number, because 457228801 - 2⁵ = 457228769 is a prime.

It is not a weakly prime, because it can be changed into another prime (457228841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228614400 + 228614401.

It is an arithmetic number, because the mean of its divisors is an integer number (228614401).

Almost surely, 2^457228801 is an apocalyptic number.

It is an amenable number.

457228801 is a deficient number, since it is larger than the sum of its proper divisors (1).

457228801 is an equidigital number, since it uses as much as digits as its factorization.

457228801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 457228801 is about 21382.9090864644. The cubic root of 457228801 is about 770.3909865685.

The spelling of 457228801 in words is "four hundred fifty-seven million, two hundred twenty-eight thousand, eight hundred one".