5245474400 has 216 divisors, whose sum is σ = 13875846264. Its totient is φ = 1934899200.

The previous prime is 5245474397. The next prime is 5245474439. The reversal of 5245474400 is 44745425.

It is a happy number.

It is a congruent number.

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, 11840579 + ... + 11841021.

It is an arithmetic number, because the mean of its divisors is an integer number (64240029).

Almost surely, 2^5245474400 is an apocalyptic number.

5245474400 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 5245474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937923132).

5245474400 is an abundant number, since it is smaller than the sum of its proper divisors (8630371864).

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

5245474400 is a wasteful number, since it uses less digits than its factorization.

5245474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 35.

The square root of 5245474400 is about 72425.6473909623. The cubic root of 5245474400 is about 1737.5137786807.

The spelling of 5245474400 in words is "five billion, two hundred forty-five million, four hundred seventy-four thousand, four hundred".