4631958 has 32 divisors (see below), whose sum is σ = 10629120. Its totient is φ = 1493640.

The previous prime is 4631903. The next prime is 4631987. The reversal of 4631958 is 8591364.

4631958 is a `hidden beast` number, since 463 + 195 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291 + ... + 3057.

It is an arithmetic number, because the mean of its divisors is an integer number (332160).

Almost surely, 2^4631958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4631958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314560).

4631958 is an abundant number, since it is smaller than the sum of its proper divisors (5997162).

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

4631958 is a wasteful number, since it uses less digits than its factorization.

4631958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2803 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4631958 is about 2152.1984109278. The cubic root of 4631958 is about 166.6946024284.

It can be divided in two parts, 463195 and 8, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 4631958 in words is "four million, six hundred thirty-one thousand, nine hundred fifty-eight".