4533459840 has 960 divisors, whose sum is σ = 20589418080. Its totient is φ = 925655040.

The previous prime is 4533459767. The next prime is 4533459851. The reversal of 4533459840 is 489543354.

4533459840 is a `hidden beast` number, since 4 + 53 + 3 + 4 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 146240625 + ... + 146240655.

Almost surely, 2^4533459840 is an apocalyptic number.

4533459840 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 4533459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10294709040).

4533459840 is an abundant number, since it is smaller than the sum of its proper divisors (16055958240).

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

4533459840 is a wasteful number, since it uses less digits than its factorization.

4533459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 4533459840 is about 67330.9723678487. The cubic root of 4533459840 is about 1655.0454486231.

The spelling of 4533459840 in words is "four billion, five hundred thirty-three million, four hundred fifty-nine thousand, eight hundred forty".