5248922400 has 216 divisors, whose sum is σ = 18904040064. Its totient is φ = 1369843200.

The previous prime is 5248922339. The next prime is 5248922417. The reversal of 5248922400 is 42298425.

5248922400 is a `hidden beast` number, since 5 + 248 + 9 + 2 + 2 + 400 = 666.

It is a super-2 number, since 2×5248922400² = 55102372722443520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330645 + ... + 346155.

It is an arithmetic number, because the mean of its divisors is an integer number (87518704).

Almost surely, 2^5248922400 is an apocalyptic number.

5248922400 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 5248922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452020032).

5248922400 is an abundant number, since it is smaller than the sum of its proper divisors (13655117664).

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

5248922400 is a wasteful number, since it uses less digits than its factorization.

5248922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15584 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5248922400 is about 72449.4472028600. The cubic root of 5248922400 is about 1737.8944010901.

The spelling of 5248922400 in words is "five billion, two hundred forty-eight million, nine hundred twenty-two thousand, four hundred".