4435252000 has 96 divisors (see below), whose sum is σ = 11103556464. Its totient is φ = 1740544000.

The previous prime is 4435251979. The next prime is 4435252001. The reversal of 4435252000 is 2525344.

It can be written as a sum of positive squares in 8 ways, for example, as 694217104 + 3741034896 = 26348^2 + 61164^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4435252001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201540 + ... + 222460.

Almost surely, 2^4435252000 is an apocalyptic number.

4435252000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4435252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551778232).

4435252000 is an abundant number, since it is smaller than the sum of its proper divisors (6668304464).

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

4435252000 is a wasteful number, since it uses less digits than its factorization.

4435252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20999 (or 20981 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 4435252000 is about 66597.6876475452. The cubic root of 4435252000 is about 1643.0070746232.

Adding to 4435252000 its reverse (2525344), we get a palindrome (4437777344).

The spelling of 4435252000 in words is "four billion, four hundred thirty-five million, two hundred fifty-two thousand".