4534941600 has 576 divisors, whose sum is σ = 19011283200. Its totient is φ = 1021870080.

The previous prime is 4534941599. The next prime is 4534941623. The reversal of 4534941600 is 61494354.

4534941600 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 9 + 41 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 13456632 + ... + 13456968.

It is an arithmetic number, because the mean of its divisors is an integer number (33005700).

Almost surely, 2^4534941600 is an apocalyptic number.

4534941600 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 4534941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505641600).

4534941600 is an abundant number, since it is smaller than the sum of its proper divisors (14476341600).

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

4534941600 is a wasteful number, since it uses less digits than its factorization.

4534941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4534941600 is about 67341.9750230122. The cubic root of 4534941600 is about 1655.2257460186.

The spelling of 4534941600 in words is "four billion, five hundred thirty-four million, nine hundred forty-one thousand, six hundred".