4516456120 has 64 divisors (see below), whose sum is σ = 11113394400. Its totient is φ = 1638266880.

The previous prime is 4516456073. The next prime is 4516456127. The reversal of 4516456120 is 216546154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4516456127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167412 + ... + 192508.

Almost surely, 2^4516456120 is an apocalyptic number.

4516456120 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 4516456120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556697200).

4516456120 is an abundant number, since it is smaller than the sum of its proper divisors (6596938280).

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

4516456120 is a wasteful number, since it uses less digits than its factorization.

4516456120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25528 (or 25524 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 4516456120 is about 67204.5840698386. The cubic root of 4516456120 is about 1652.9736544514.

The spelling of 4516456120 in words is "four billion, five hundred sixteen million, four hundred fifty-six thousand, one hundred twenty".