4513438800 has 960 divisors, whose sum is σ = 19218769920. Its totient is φ = 995328000.

The previous prime is 4513438789. The next prime is 4513438841. The reversal of 4513438800 is 88343154.

It is a super-2 number, since 2×4513438800² = 40742259602690880000, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 73990770 + ... + 73990830.

It is an arithmetic number, because the mean of its divisors is an integer number (20019552).

Almost surely, 2^4513438800 is an apocalyptic number.

4513438800 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 4513438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9609384960).

4513438800 is an abundant number, since it is smaller than the sum of its proper divisors (14705331120).

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

4513438800 is a wasteful number, since it uses less digits than its factorization.

4513438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4513438800 is about 67182.1315529658. The cubic root of 4513438800 is about 1652.6054703835.

The spelling of 4513438800 in words is "four billion, five hundred thirteen million, four hundred thirty-eight thousand, eight hundred".