4532488200 has 144 divisors (see below), whose sum is σ = 15240871620. Its totient is φ = 1207134720.

The previous prime is 4532488189. The next prime is 4532488223. The reversal of 4532488200 is 28842354.

4532488200 is a `hidden beast` number, since 4 + 532 + 48 + 82 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2910170916 + 1622317284 = 53946^2 + 40278^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2614534 + ... + 2616266.

Almost surely, 2^4532488200 is an apocalyptic number.

4532488200 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 4532488200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620435810).

4532488200 is an abundant number, since it is smaller than the sum of its proper divisors (10708383420).

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

4532488200 is a wasteful number, since it uses less digits than its factorization.

4532488200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4532488200 is about 67323.7565796800. The cubic root of 4532488200 is about 1654.9272002126.

The spelling of 4532488200 in words is "four billion, five hundred thirty-two million, four hundred eighty-eight thousand, two hundred".