5204774400 has 720 divisors, whose sum is σ = 21185298816. Its totient is φ = 1102970880.

The previous prime is 5204774389. The next prime is 5204774401. The reversal of 5204774400 is 44774025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5204774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77683167 + ... + 77683233.

Almost surely, 2^5204774400 is an apocalyptic number.

5204774400 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 5204774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10592649408).

5204774400 is an abundant number, since it is smaller than the sum of its proper divisors (15980524416).

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

5204774400 is a wasteful number, since it uses less digits than its factorization.

5204774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 5204774400 is about 72144.1224217192. The cubic root of 5204774400 is about 1733.0082756653.

The spelling of 5204774400 in words is "five billion, two hundred four million, seven hundred seventy-four thousand, four hundred".