4653285120 has 216 divisors, whose sum is σ = 17563985712. Its totient is φ = 1128038400.

The previous prime is 4653285113. The next prime is 4653285121. The reversal of 4653285120 is 215823564.

4653285120 is a `hidden beast` number, since 46 + 532 + 85 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4653285121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108360 + ... + 145080.

Almost surely, 2^4653285120 is an apocalyptic number.

4653285120 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 4653285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781992856).

4653285120 is an abundant number, since it is smaller than the sum of its proper divisors (12910700592).

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

4653285120 is a wasteful number, since it uses less digits than its factorization.

4653285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36759 (or 36742 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4653285120 is about 68214.9919006079. The cubic root of 4653285120 is about 1669.5005043984.

The spelling of 4653285120 in words is "four billion, six hundred fifty-three million, two hundred eighty-five thousand, one hundred twenty".