4185253800 has 960 divisors, whose sum is σ = 19056280320. Its totient is φ = 826122240.

The previous prime is 4185253799. The next prime is 4185253867. The reversal of 4185253800 is 83525814.

It is a happy number.

4185253800 is a `hidden beast` number, since 41 + 85 + 2 + 538 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25061317 + ... + 25061483.

It is an arithmetic number, because the mean of its divisors is an integer number (19850292).

Almost surely, 2^4185253800 is an apocalyptic number.

4185253800 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 4185253800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528140160).

4185253800 is an abundant number, since it is smaller than the sum of its proper divisors (14871026520).

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

4185253800 is a wasteful number, since it uses less digits than its factorization.

4185253800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4185253800 is about 64693.5375443328. The cubic root of 4185253800 is about 1611.5381824974.

The spelling of 4185253800 in words is "four billion, one hundred eighty-five million, two hundred fifty-three thousand, eight hundred".