5258398400 has 84 divisors (see below), whose sum is σ = 12979344120. Its totient is φ = 2096793600.

The previous prime is 5258398363. The next prime is 5258398441. The reversal of 5258398400 is 48938525.

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, 524636 + ... + 534564.

Almost surely, 2^5258398400 is an apocalyptic number.

5258398400 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 5258398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489672060).

5258398400 is an abundant number, since it is smaller than the sum of its proper divisors (7720945720).

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

5258398400 is a wasteful number, since it uses less digits than its factorization.

5258398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282 (or 10267 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 5258398400 is about 72514.8150380321. The cubic root of 5258398400 is about 1738.9395925806.

The spelling of 5258398400 in words is "five billion, two hundred fifty-eight million, three hundred ninety-eight thousand, four hundred".