407056457 has 2 divisors, whose sum is σ = 407056458. Its totient is φ = 407056456.

The previous prime is 407056439. The next prime is 407056469. The reversal of 407056457 is 754650704.

407056457 is nontrivially palindromic in base 4.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374383801 + 32672656 = 19349^2 + 5716^2 .

It is a cyclic number.

It is not a de Polignac number, because 407056457 - 2⁸ = 407056201 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 407056457.

It is not a weakly prime, because it can be changed into another prime (407056417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203528228 + 203528229.

It is an arithmetic number, because the mean of its divisors is an integer number (203528229).

Almost surely, 2^407056457 is an apocalyptic number.

It is an amenable number.

407056457 is a deficient number, since it is larger than the sum of its proper divisors (1).

407056457 is an equidigital number, since it uses as much as digits as its factorization.

407056457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 407056457 is about 20175.6401881080. The cubic root of 407056457 is about 741.1137702359.

The spelling of 407056457 in words is "four hundred seven million, fifty-six thousand, four hundred fifty-seven".