4860414720 has 720 divisors, whose sum is σ = 20525913408. Its totient is φ = 1074954240.

The previous prime is 4860414707. The next prime is 4860414737. The reversal of 4860414720 is 274140684.

4860414720 is a `hidden beast` number, since 4 + 8 + 604 + 1 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26853030 + ... + 26853210.

Almost surely, 2^4860414720 is an apocalyptic number.

4860414720 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 4860414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262956704).

4860414720 is an abundant number, since it is smaller than the sum of its proper divisors (15665498688).

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

4860414720 is a wasteful number, since it uses less digits than its factorization.

4860414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4860414720 is about 69716.6746194911. The cubic root of 4860414720 is about 1693.9130316601.

The spelling of 4860414720 in words is "four billion, eight hundred sixty million, four hundred fourteen thousand, seven hundred twenty".