4237952 has 32 divisors (see below), whose sum is σ = 8546580. Its totient is φ = 2093056.

The previous prime is 4237939. The next prime is 4237963. The reversal of 4237952 is 2597324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4227136 + 10816 = 2056^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 4¹¹ + 2¹³ + 3⁴ + 7⁴ + 9² + 5³ + 2¹⁵ .

Its product of digits (15120) is a multiple of the sum of its prime factors (420).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14318 + ... + 14610.

Almost surely, 2^4237952 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 4237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273290).

4237952 is an abundant number, since it is smaller than the sum of its proper divisors (4308628).

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

4237952 is a wasteful number, since it uses less digits than its factorization.

4237952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 4237952 is about 2058.6286697702. The cubic root of 4237952 is about 161.8273830716.

The spelling of 4237952 in words is "four million, two hundred thirty-seven thousand, nine hundred fifty-two".