5284190400 has 168 divisors, whose sum is σ = 17378043984. Its totient is φ = 1405747200.

The previous prime is 5284190389. The next prime is 5284190419. The reversal of 5284190400 is 40914825.

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, 2499744 + ... + 2501856.

It is an arithmetic number, because the mean of its divisors is an integer number (103440738).

Almost surely, 2^5284190400 is an apocalyptic number.

5284190400 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 5284190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689021992).

5284190400 is an abundant number, since it is smaller than the sum of its proper divisors (12093853584).

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

5284190400 is a wasteful number, since it uses less digits than its factorization.

5284190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 5284190400 is about 72692.4370206420. The cubic root of 5284190400 is about 1741.7780740632.

The spelling of 5284190400 in words is "five billion, two hundred eighty-four million, one hundred ninety thousand, four hundred".