4000457 has 8 divisors (see below), whose sum is σ = 4372992. Its totient is φ = 3643200.

The previous prime is 4000439. The next prime is 4000489. The reversal of 4000457 is 7540004.

4000457 = T₄₆₈ + T₄₆₉ + ... + T₅₀₁.

4000457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 4000457 - 2¹² = 3996361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000357) 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, 3269 + ... + 4322.

It is an arithmetic number, because the mean of its divisors is an integer number (546624).

Almost surely, 2^4000457 is an apocalyptic number.

It is an amenable number.

4000457 is a deficient number, since it is larger than the sum of its proper divisors (372535).

4000457 is a wasteful number, since it uses less digits than its factorization.

4000457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639.

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 4000457 is about 2000.1142467369. The cubic root of 4000457 is about 158.7461503189.

The spelling of 4000457 in words is "four million, four hundred fifty-seven", and thus it is an aban number.