10407457 has 2 divisors, whose sum is σ = 10407458. Its totient is φ = 10407456.

The previous prime is 10407443. The next prime is 10407461. The reversal of 10407457 is 75470401.

10407457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9634816 + 772641 = 3104^2 + 879^2 .

It is a cyclic number.

It is not a de Polignac number, because 10407457 - 2⁷ = 10407329 is a prime.

It is a super-2 number, since 2×10407457² = 216630322413698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10407437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203728 + 5203729.

It is an arithmetic number, because the mean of its divisors is an integer number (5203729).

Almost surely, 2^10407457 is an apocalyptic number.

It is an amenable number.

10407457 is a deficient number, since it is larger than the sum of its proper divisors (1).

10407457 is an equidigital number, since it uses as much as digits as its factorization.

10407457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 10407457 is about 3226.0590509165. The cubic root of 10407457 is about 218.3307341273.

Adding to 10407457 its reverse (75470401), we get a palindrome (85877858).

The spelling of 10407457 in words is "ten million, four hundred seven thousand, four hundred fifty-seven".