4889084400 has 480 divisors, whose sum is σ = 19041638400. Its totient is φ = 1186099200.

The previous prime is 4889084399. The next prime is 4889084411. The reversal of 4889084400 is 44809884.

4889084400 is a `hidden beast` number, since 4 + 88 + 90 + 84 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5691171 + ... + 5692029.

It is an arithmetic number, because the mean of its divisors is an integer number (39670080).

Almost surely, 2^4889084400 is an apocalyptic number.

4889084400 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 4889084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520819200).

4889084400 is an abundant number, since it is smaller than the sum of its proper divisors (14152554000).

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

4889084400 is a wasteful number, since it uses less digits than its factorization.

4889084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4889084400 is about 69921.9879580093. The cubic root of 4889084400 is about 1697.2370806346.

The spelling of 4889084400 in words is "four billion, eight hundred eighty-nine million, eighty-four thousand, four hundred".