5204324400 has 480 divisors, whose sum is σ = 19070422272. Its totient is φ = 1202073600.

The previous prime is 5204324399. The next prime is 5204324401. The reversal of 5204324400 is 44234025.

It is an interprime number because it is at equal distance from previous prime (5204324399) and next prime (5204324401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5204324401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30082714 + ... + 30082886.

Almost surely, 2^5204324400 is an apocalyptic number.

5204324400 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 5204324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535211136).

5204324400 is an abundant number, since it is smaller than the sum of its proper divisors (13866097872).

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

5204324400 is a wasteful number, since it uses less digits than its factorization.

5204324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 5204324400 is about 72141.0035971222. The cubic root of 5204324400 is about 1732.9583294595.

Adding to 5204324400 its reverse (44234025), we get a palindrome (5248558425).

The spelling of 5204324400 in words is "five billion, two hundred four million, three hundred twenty-four thousand, four hundred".