457322401 has 2 divisors, whose sum is σ = 457322402. Its totient is φ = 457322400.

The previous prime is 457322357. The next prime is 457322407. The reversal of 457322401 is 104223754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 449482401 + 7840000 = 21201^2 + 2800^2 .

It is a cyclic number.

It is not a de Polignac number, because 457322401 - 2¹⁵ = 457289633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 457322401.

It is not a weakly prime, because it can be changed into another prime (457322407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228661200 + 228661201.

It is an arithmetic number, because the mean of its divisors is an integer number (228661201).

Almost surely, 2^457322401 is an apocalyptic number.

It is an amenable number.

457322401 is a deficient number, since it is larger than the sum of its proper divisors (1).

457322401 is an equidigital number, since it uses as much as digits as its factorization.

457322401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 457322401 is about 21385.0976383088. The cubic root of 457322401 is about 770.4435522834.

The spelling of 457322401 in words is "four hundred fifty-seven million, three hundred twenty-two thousand, four hundred one".