4536409800 has 384 divisors, whose sum is σ = 15908981760. Its totient is φ = 1061683200.

The previous prime is 4536409793. The next prime is 4536409837. The reversal of 4536409800 is 89046354.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17651272 + ... + 17651528.

It is an arithmetic number, because the mean of its divisors is an integer number (41429640).

Almost surely, 2^4536409800 is an apocalyptic number.

4536409800 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 4536409800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954490880).

4536409800 is an abundant number, since it is smaller than the sum of its proper divisors (11372571960).

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

4536409800 is a wasteful number, since it uses less digits than its factorization.

4536409800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4536409800 is about 67352.8752170240. The cubic root of 4536409800 is about 1655.4043547300.

The spelling of 4536409800 in words is "four billion, five hundred thirty-six million, four hundred nine thousand, eight hundred".