5254502400 has 720 divisors, whose sum is σ = 22364662320. Its totient is φ = 1194393600.

The previous prime is 5254502371. The next prime is 5254502413. The reversal of 5254502400 is 42054525.

5254502400 is a `hidden beast` number, since 5 + 254 + 5 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29030310 + ... + 29030490.

It is an arithmetic number, because the mean of its divisors is an integer number (31062031).

Almost surely, 2^5254502400 is an apocalyptic number.

5254502400 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 5254502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182331160).

5254502400 is an abundant number, since it is smaller than the sum of its proper divisors (17110159920).

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

5254502400 is a wasteful number, since it uses less digits than its factorization.

5254502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5254502400 is about 72487.9465842425. The cubic root of 5254502400 is about 1738.5100205559.

Adding to 5254502400 its reverse (42054525), we get a palindrome (5296556925).

The spelling of 5254502400 in words is "five billion, two hundred fifty-four million, five hundred two thousand, four hundred".