4853952 has 84 divisors (see below), whose sum is σ = 14544040. Its totient is φ = 1587456.

The previous prime is 4853921. The next prime is 4853957. The reversal of 4853952 is 2593584.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 4⁸ + 8 + 5³ + 3⁷ + 9⁷ + 5⁵ + 2 .

It is not an unprimeable number, because it can be changed into a prime (4853957) 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, 91558 + ... + 91610.

Almost surely, 2^4853952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4853952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272020).

4853952 is an abundant number, since it is smaller than the sum of its proper divisors (9690088).

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

4853952 is an equidigital number, since it uses as much as digits as its factorization.

4853952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 58 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 4853952 is about 2203.1686272276. The cubic root of 4853952 is about 169.3161920084.

Multiplying 4853952 by its product of digits (43200), we get a square (209690726400 = 457920²).

The spelling of 4853952 in words is "four million, eight hundred fifty-three thousand, nine hundred fifty-two".