4630160920 has 384 divisors, whose sum is σ = 14183424000. Its totient is φ = 1341204480.

The previous prime is 4630160911. The next prime is 4630160929. The reversal of 4630160920 is 290610364.

It is an interprime number because it is at equal distance from previous prime (4630160911) and next prime (4630160929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630160929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36457897 + ... + 36458023.

It is an arithmetic number, because the mean of its divisors is an integer number (36936000).

Almost surely, 2^4630160920 is an apocalyptic number.

4630160920 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 4630160920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091712000).

4630160920 is an abundant number, since it is smaller than the sum of its proper divisors (9553263080).

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

4630160920 is a wasteful number, since it uses less digits than its factorization.

4630160920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 4630160920 is about 68045.2858029122. The cubic root of 4630160920 is about 1666.7304190725.

The spelling of 4630160920 in words is "four billion, six hundred thirty million, one hundred sixty thousand, nine hundred twenty".