4871952 has 60 divisors (see below), whose sum is σ = 14237184. Its totient is φ = 1552320.

The previous prime is 4871941. The next prime is 4871953. The reversal of 4871952 is 2591784.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁴ + 8 + 7⁴ + 1 + 9⁷ + 5⁷ + 2¹³ .

It is not an unprimeable number, because it can be changed into a prime (4871953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2577 + ... + 4047.

Almost surely, 2^4871952 is an apocalyptic number.

4871952 is the 1104-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4871952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118592).

4871952 is an abundant number, since it is smaller than the sum of its proper divisors (9365232).

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

4871952 is a wasteful number, since it uses less digits than its factorization.

4871952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1499 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 4871952 is about 2207.2498725790. The cubic root of 4871952 is about 169.5252266210.

The spelling of 4871952 in words is "four million, eight hundred seventy-one thousand, nine hundred fifty-two".