405315457 has 2 divisors, whose sum is σ = 405315458. Its totient is φ = 405315456.

The previous prime is 405315431. The next prime is 405315461. The reversal of 405315457 is 754513504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367258896 + 38056561 = 19164^2 + 6169^2 .

It is a cyclic number.

It is not a de Polignac number, because 405315457 - 2⁷ = 405315329 is a prime.

It is not a weakly prime, because it can be changed into another prime (405315497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202657728 + 202657729.

It is an arithmetic number, because the mean of its divisors is an integer number (202657729).

Almost surely, 2^405315457 is an apocalyptic number.

It is an amenable number.

405315457 is a deficient number, since it is larger than the sum of its proper divisors (1).

405315457 is an equidigital number, since it uses as much as digits as its factorization.

405315457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 405315457 is about 20132.4478640825. The cubic root of 405315457 is about 740.0556672269.

It can be divided in two parts, 4053 and 15457, that multiplied together give a triangular number (62647221 = T₁₁₁₉₃).

The spelling of 405315457 in words is "four hundred five million, three hundred fifteen thousand, four hundred fifty-seven".