4528461600 has 288 divisors, whose sum is σ = 17638871040. Its totient is φ = 1114629120.

The previous prime is 4528461583. The next prime is 4528461601. The reversal of 4528461600 is 61648254.

4528461600 is a `hidden beast` number, since 4 + 5 + 2 + 8 + 46 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (4528461601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272737 + ... + 288863.

It is an arithmetic number, because the mean of its divisors is an integer number (61246080).

Almost surely, 2^4528461600 is an apocalyptic number.

4528461600 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 4528461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819435520).

4528461600 is an abundant number, since it is smaller than the sum of its proper divisors (13110409440).

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

4528461600 is a wasteful number, since it uses less digits than its factorization.

4528461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16169 (or 16150 counting only the distinct ones).

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

The square root of 4528461600 is about 67293.8451866142. The cubic root of 4528461600 is about 1654.4369835173.

The spelling of 4528461600 in words is "four billion, five hundred twenty-eight million, four hundred sixty-one thousand, six hundred".