4627413 has 24 divisors (see below), whose sum is σ = 7800000. Its totient is φ = 2642472.

The previous prime is 4627409. The next prime is 4627421. The reversal of 4627413 is 3147264.

It is not a de Polignac number, because 4627413 - 2² = 4627409 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4² + 6⁷ + 2¹⁷ + 7⁴ + 4¹¹ + 1 + 3⁹ .

4627413 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4627423) by changing a digit.

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, 2338 + ... + 3836.

It is an arithmetic number, because the mean of its divisors is an integer number (325000).

Almost surely, 2^4627413 is an apocalyptic number.

It is an amenable number.

4627413 is a deficient number, since it is larger than the sum of its proper divisors (3172587).

4627413 is a wasteful number, since it uses less digits than its factorization.

4627413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1509 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4627413 is about 2151.1422547103. The cubic root of 4627413 is about 166.6400628648.

It can be divided in two parts, 462 and 7413, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 4627413 in words is "four million, six hundred twenty-seven thousand, four hundred thirteen".