4657401 has 36 divisors (see below), whose sum is σ = 8002800. Its totient is φ = 2601648.

The previous prime is 4657397. The next prime is 4657417. The reversal of 4657401 is 1047564.

4657401 = T₂₅₈ + T₂₅₉ + ... + T₃₅₅.

4657401 is a `hidden beast` number, since 4 + 657 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 4657401 - 2² = 4657397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4657441) 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 35 ways as a sum of consecutive naturals, for example, 25930 + ... + 26108.

It is an arithmetic number, because the mean of its divisors is an integer number (222300).

Almost surely, 2^4657401 is an apocalyptic number.

It is an amenable number.

4657401 is a deficient number, since it is larger than the sum of its proper divisors (3345399).

4657401 is a wasteful number, since it uses less digits than its factorization.

4657401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4657401 is about 2158.1012487833. The cubic root of 4657401 is about 166.9992589638. Note that the first 3 decimals are identical.

The spelling of 4657401 in words is "four million, six hundred fifty-seven thousand, four hundred one".