4800610416 has 160 divisors (see below), whose sum is σ = 15659854848. Its totient is φ = 1234759680.

The previous prime is 4800610403. The next prime is 4800610417. The reversal of 4800610416 is 6140160084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800610417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113106 + ... + 149646.

Almost surely, 2^4800610416 is an apocalyptic number.

4800610416 is a gapful number since it is divisible by the number (46) 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 4800610416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7829927424).

4800610416 is an abundant number, since it is smaller than the sum of its proper divisors (10859244432).

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

4800610416 is a wasteful number, since it uses less digits than its factorization.

4800610416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36599 (or 36593 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4800610416 is about 69286.4374607325. The cubic root of 4800610416 is about 1686.9368337939.

The spelling of 4800610416 in words is "four billion, eight hundred million, six hundred ten thousand, four hundred sixteen".