5253452400 has 240 divisors, whose sum is σ = 19753608704. Its totient is φ = 1168266240.

The previous prime is 5253452383. The next prime is 5253452411. The reversal of 5253452400 is 42543525.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 302349 + ... + 319251.

Almost surely, 2^5253452400 is an apocalyptic number.

5253452400 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 5253452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9876804352).

5253452400 is an abundant number, since it is smaller than the sum of its proper divisors (14500156304).

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

5253452400 is a wasteful number, since it uses less digits than its factorization.

5253452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16968 (or 16957 counting only the distinct ones).

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

The square root of 5253452400 is about 72480.7036389686. The cubic root of 5253452400 is about 1738.3942114848.

Adding to 5253452400 its reverse (42543525), we get a palindrome (5295995925).

The spelling of 5253452400 in words is "five billion, two hundred fifty-three million, four hundred fifty-two thousand, four hundred".