4889257200 has 390 divisors, whose sum is σ = 18385721304. Its totient is φ = 1247114880.

The previous prime is 4889257199. The next prime is 4889257201. The reversal of 4889257200 is 27529884.

It is an interprime number because it is at equal distance from previous prime (4889257199) and next prime (4889257201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4889257201) by changing a digit.

It is a polite number, since it can be written in 77 ways as a sum of consecutive naturals, for example, 212576389 + ... + 212576411.

Almost surely, 2^4889257200 is an apocalyptic number.

4889257200 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 4889257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192860652).

4889257200 is an abundant number, since it is smaller than the sum of its proper divisors (13496464104).

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

4889257200 is an frugal number, since it uses more digits than its factorization.

4889257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4889257200 is about 69923.2236098995. The cubic root of 4889257200 is about 1697.2570761381.

The spelling of 4889257200 in words is "four billion, eight hundred eighty-nine million, two hundred fifty-seven thousand, two hundred".