4986578400 has 144 divisors (see below), whose sum is σ = 16255209600. Its totient is φ = 1327797760.

The previous prime is 4986578353. The next prime is 4986578413. The reversal of 4986578400 is 48756894.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2444581 + ... + 2446619.

It is an arithmetic number, because the mean of its divisors is an integer number (112883400).

Almost surely, 2^4986578400 is an apocalyptic number.

4986578400 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 4986578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127604800).

4986578400 is an abundant number, since it is smaller than the sum of its proper divisors (11268631200).

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

4986578400 is a wasteful number, since it uses less digits than its factorization.

4986578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 4986578400 is about 70615.7093004099. The cubic root of 4986578400 is about 1708.4445347139. Note that the first 3 decimals are identical.

The spelling of 4986578400 in words is "four billion, nine hundred eighty-six million, five hundred seventy-eight thousand, four hundred".