4538248000 has 224 divisors, whose sum is σ = 13207154688. Its totient is φ = 1522944000.

The previous prime is 4538247979. The next prime is 4538248003. The reversal of 4538248000 is 8428354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538248003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142017 + ... + 1145983.

It is an arithmetic number, because the mean of its divisors is an integer number (58960512).

Almost surely, 2^4538248000 is an apocalyptic number.

4538248000 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 4538248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603577344).

4538248000 is an abundant number, since it is smaller than the sum of its proper divisors (8668906688).

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

4538248000 is a wasteful number, since it uses less digits than its factorization.

4538248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 4538248000 is about 67366.5198744896. The cubic root of 4538248000 is about 1655.6279201703.

The spelling of 4538248000 in words is "four billion, five hundred thirty-eight million, two hundred forty-eight thousand".