5247590400 has 672 divisors, whose sum is σ = 21046257120. Its totient is φ = 1274019840.

The previous prime is 5247590393. The next prime is 5247590417. The reversal of 5247590400 is 40957425.

5247590400 is a `hidden beast` number, since 5 + 24 + 7 + 590 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71884764 + ... + 71884836.

It is an arithmetic number, because the mean of its divisors is an integer number (31318835).

Almost surely, 2^5247590400 is an apocalyptic number.

5247590400 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 5247590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523128560).

5247590400 is an abundant number, since it is smaller than the sum of its proper divisors (15798666720).

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

5247590400 is a wasteful number, since it uses less digits than its factorization.

5247590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5247590400 is about 72440.2540028678. The cubic root of 5247590400 is about 1737.7473822669.

The spelling of 5247590400 in words is "five billion, two hundred forty-seven million, five hundred ninety thousand, four hundred".