4882550400 has 1344 divisors, whose sum is σ = 23224763520. Its totient is φ = 985374720.

The previous prime is 4882550363. The next prime is 4882550401. The reversal of 4882550400 is 40552884.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4882550401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 212284789 + ... + 212284811.

It is an arithmetic number, because the mean of its divisors is an integer number (17280330).

Almost surely, 2^4882550400 is an apocalyptic number.

4882550400 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 4882550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612381760).

4882550400 is an abundant number, since it is smaller than the sum of its proper divisors (18342213120).

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

4882550400 is a wasteful number, since it uses less digits than its factorization.

4882550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 4882550400 is about 69875.2488367662. The cubic root of 4882550400 is about 1696.4806546774.

It can be divided in two parts, 48825 and 50400, that added together give a square (99225 = 315²).

The spelling of 4882550400 in words is "four billion, eight hundred eighty-two million, five hundred fifty thousand, four hundred".