4493952 has 96 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1448448.

The previous prime is 4493939. The next prime is 4494019. The reversal of 4493952 is 2593944.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

Its product of digits (38880) is a multiple of the sum of its prime divisors (135).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54103 + ... + 54185.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^4493952 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 4493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

4493952 is an abundant number, since it is smaller than the sum of its proper divisors (8872128).

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

4493952 is a wasteful number, since it uses less digits than its factorization.

4493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 4493952 is about 2119.8943369895. The cubic root of 4493952 is about 165.0223661141.

It can be divided in two parts, 4493 and 952, that added together give a palindrome (5445).

The spelling of 4493952 in words is "four million, four hundred ninety-three thousand, nine hundred fifty-two".