4663629 has 16 divisors (see below), whose sum is σ = 7041600. Its totient is φ = 3049488.

The previous prime is 4663621. The next prime is 4663643. The reversal of 4663629 is 9263664.

It is not a de Polignac number, because 4663629 - 2³ = 4663621 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

4663629 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4663593 and 4663602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663621) 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 15 ways as a sum of consecutive naturals, for example, 199 + ... + 3060.

It is an arithmetic number, because the mean of its divisors is an integer number (440100).

Almost surely, 2^4663629 is an apocalyptic number.

It is an amenable number.

4663629 is a deficient number, since it is larger than the sum of its proper divisors (2377971).

4663629 is a wasteful number, since it uses less digits than its factorization.

4663629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3315 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 4663629 is about 2159.5437018037. The cubic root of 4663629 is about 167.0736644191.

It can be divided in two parts, 46636 and 29, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 4663629 in words is "four million, six hundred sixty-three thousand, six hundred twenty-nine".