4257405 has 24 divisors (see below), whose sum is σ = 7581912. Its totient is φ = 2208384.

The previous prime is 4257391. The next prime is 4257413. The reversal of 4257405 is 5047524.

4257405 is a `hidden beast` number, since 4 + 257 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1028196 + 3229209 = 1014^2 + 1797^2 .

It is not a de Polignac number, because 4257405 - 2¹⁰ = 4256381 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387 + ... + 2943.

It is an arithmetic number, because the mean of its divisors is an integer number (315913).

Almost surely, 2^4257405 is an apocalyptic number.

4257405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4257405 is a deficient number, since it is larger than the sum of its proper divisors (3324507).

4257405 is a wasteful number, since it uses less digits than its factorization.

4257405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 4257405 is about 2063.3480074869. The cubic root of 4257405 is about 162.0746112648.

The spelling of 4257405 in words is "four million, two hundred fifty-seven thousand, four hundred five".