4860313920 has 1008 divisors, whose sum is σ = 22115897856. Its totient is φ = 967680000.

The previous prime is 4860313907. The next prime is 4860313987. The reversal of 4860313920 is 293130684.

4860313920 is a `hidden beast` number, since 48 + 603 + 1 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48121870 + ... + 48121970.

Almost surely, 2^4860313920 is an apocalyptic number.

4860313920 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 4860313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11057948928).

4860313920 is an abundant number, since it is smaller than the sum of its proper divisors (17255583936).

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

4860313920 is a wasteful number, since it uses less digits than its factorization.

4860313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4860313920 is about 69715.9516896958. The cubic root of 4860313920 is about 1693.9013215747.

The spelling of 4860313920 in words is "four billion, eight hundred sixty million, three hundred thirteen thousand, nine hundred twenty".