4752033000 has 768 divisors, whose sum is σ = 18822585600. Its totient is φ = 988416000.

The previous prime is 4752032977. The next prime is 4752033017. The reversal of 4752033000 is 3302574.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89660974 + ... + 89661026.

It is an arithmetic number, because the mean of its divisors is an integer number (24508575).

Almost surely, 2^4752033000 is an apocalyptic number.

4752033000 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 4752033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411292800).

4752033000 is an abundant number, since it is smaller than the sum of its proper divisors (14070552600).

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

4752033000 is a wasteful number, since it uses less digits than its factorization.

4752033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 4752033000 is about 68934.9911148177. The cubic root of 4752033000 is about 1681.2274901055.

Adding to 4752033000 its reverse (3302574), we get a palindrome (4755335574).

It can be divided in two parts, 47520 and 33000, that multiplied together give a square (1568160000 = 39600²).

The spelling of 4752033000 in words is "four billion, seven hundred fifty-two million, thirty-three thousand".