4252208400 has 720 divisors, whose sum is σ = 17277519168. Its totient is φ = 995328000.

The previous prime is 4252208383. The next prime is 4252208449. The reversal of 4252208400 is 48022524.

It is a happy number.

4252208400 is a `hidden beast` number, since 4 + 2 + 52 + 208 + 400 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43837152 + ... + 43837248.

Almost surely, 2^4252208400 is an apocalyptic number.

4252208400 is a gapful number since it is divisible by the number (40) 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 4252208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638759584).

4252208400 is an abundant number, since it is smaller than the sum of its proper divisors (13025310768).

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

4252208400 is a wasteful number, since it uses less digits than its factorization.

4252208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4252208400 is about 65208.9595071107. The cubic root of 4252208400 is about 1620.0864151434.

The spelling of 4252208400 in words is "four billion, two hundred fifty-two million, two hundred eight thousand, four hundred".