5234382000 has 400 divisors, whose sum is σ = 19193116800. Its totient is φ = 1374796800.

The previous prime is 5234381993. The next prime is 5234382011. The reversal of 5234382000 is 2834325.

5234382000 is a `hidden beast` number, since 5 + 23 + 438 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12797796 + ... + 12798204.

It is an arithmetic number, because the mean of its divisors is an integer number (47982792).

Almost surely, 2^5234382000 is an apocalyptic number.

5234382000 is a gapful number since it is divisible by the number (50) 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 5234382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596558400).

5234382000 is an abundant number, since it is smaller than the sum of its proper divisors (13958734800).

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

5234382000 is a wasteful number, since it uses less digits than its factorization.

5234382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5234382000 is about 72349.0290190546. The cubic root of 5234382000 is about 1736.2881634946.

The spelling of 5234382000 in words is "five billion, two hundred thirty-four million, three hundred eighty-two thousand".