4629834 has 48 divisors (see below), whose sum is σ = 11138400. Its totient is φ = 1378080.

The previous prime is 4629827. The next prime is 4629841. The reversal of 4629834 is 4389264.

It is a happy number.

4629834 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (4629827) and next prime (4629841).

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

It is a d-powerful number, because it can be written as 4⁵ + 6⁸ + 2¹⁹ + 9⁴ + 8⁷ + 3¹⁰ + 4⁹ .

Its product of digits (41472) is a multiple of the sum of its prime divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13092 + ... + 13440.

It is an arithmetic number, because the mean of its divisors is an integer number (232050).

Almost surely, 2^4629834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4629834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569200).

4629834 is an abundant number, since it is smaller than the sum of its proper divisors (6508566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4629834 is a wasteful number, since it uses less digits than its factorization.

4629834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 432 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4629834 is about 2151.7049054180. The cubic root of 4629834 is about 166.6691190750.

It can be divided in two parts, 462 and 9834, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 4629834 in words is "four million, six hundred twenty-nine thousand, eight hundred thirty-four".