4641252000 has 384 divisors, whose sum is σ = 18960334848. Its totient is φ = 964224000.

The previous prime is 4641251983. The next prime is 4641252013. The reversal of 4641252000 is 2521464.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921489 + ... + 926511.

It is an arithmetic number, because the mean of its divisors is an integer number (49375872).

Almost surely, 2^4641252000 is an apocalyptic number.

4641252000 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 4641252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480167424).

4641252000 is an abundant number, since it is smaller than the sum of its proper divisors (14319082848).

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

4641252000 is a wasteful number, since it uses less digits than its factorization.

4641252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4641252000 is about 68126.7348402960. The cubic root of 4641252000 is about 1668.0601856493.

Adding to 4641252000 its reverse (2521464), we get a palindrome (4643773464).

The spelling of 4641252000 in words is "four billion, six hundred forty-one million, two hundred fifty-two thousand".