4561389600 has 288 divisors, whose sum is σ = 15749991936. Its totient is φ = 1144627200.

The previous prime is 4561389589. The next prime is 4561389661. The reversal of 4561389600 is 69831654.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2751972 + ... + 2753628.

It is an arithmetic number, because the mean of its divisors is an integer number (54687472).

Almost surely, 2^4561389600 is an apocalyptic number.

4561389600 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 4561389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874995968).

4561389600 is an abundant number, since it is smaller than the sum of its proper divisors (11188602336).

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

4561389600 is a wasteful number, since it uses less digits than its factorization.

4561389600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4561389600 is about 67538.0603807957. The cubic root of 4561389600 is about 1658.4372964685.

The spelling of 4561389600 in words is "four billion, five hundred sixty-one million, three hundred eighty-nine thousand, six hundred".