5245352400 has 180 divisors, whose sum is σ = 17567049248. Its totient is φ = 1337783040.

The previous prime is 5245352393. The next prime is 5245352407. The reversal of 5245352400 is 42535425.

It is an interprime number because it is at equal distance from previous prime (5245352393) and next prime (5245352407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5245352407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 630669 + ... + 638931.

Almost surely, 2^5245352400 is an apocalyptic number.

5245352400 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 5245352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783524624).

5245352400 is an abundant number, since it is smaller than the sum of its proper divisors (12321696848).

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

5245352400 is a wasteful number, since it uses less digits than its factorization.

5245352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 5245352400 is about 72424.8051429895. The cubic root of 5245352400 is about 1737.5003081275.

Adding to 5245352400 its reverse (42535425), we get a palindrome (5287887825).

The spelling of 5245352400 in words is "five billion, two hundred forty-five million, three hundred fifty-two thousand, four hundred".