4006457 has 8 divisors (see below), whose sum is σ = 4931136. Its totient is φ = 3169872.

The previous prime is 4006451. The next prime is 4006463. The reversal of 4006457 is 7546004.

4006457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4006451) and next prime (4006463).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4006457 - 2⁸ = 4006201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4006451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21923 + ... + 22104.

It is an arithmetic number, because the mean of its divisors is an integer number (616392).

Almost surely, 2^4006457 is an apocalyptic number.

It is an amenable number.

4006457 is a deficient number, since it is larger than the sum of its proper divisors (924679).

4006457 is a wasteful number, since it uses less digits than its factorization.

4006457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44047.

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4006457 is about 2001.6135990745. The cubic root of 4006457 is about 158.8254746823.

The spelling of 4006457 in words is "four million, six thousand, four hundred fifty-seven".