5082874400 has 72 divisors (see below), whose sum is σ = 12430454400. Its totient is φ = 2029564160.

The previous prime is 5082874373. The next prime is 5082874439. The reversal of 5082874400 is 44782805.

It is a super-2 number, since 2×5082874400² = 51671224332350720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 473897 + ... + 484503.

It is an arithmetic number, because the mean of its divisors is an integer number (172645200).

Almost surely, 2^5082874400 is an apocalyptic number.

5082874400 is a gapful number since it is divisible by the number (50) 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 5082874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215227200).

5082874400 is an abundant number, since it is smaller than the sum of its proper divisors (7347580000).

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

5082874400 is a wasteful number, since it uses less digits than its factorization.

5082874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11226 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 5082874400 is about 71294.2802754891. The cubic root of 5082874400 is about 1719.3717734539.

The spelling of 5082874400 in words is "five billion, eighty-two million, eight hundred seventy-four thousand, four hundred".