4608414720 has 792 divisors, whose sum is σ = 20131327944. Its totient is φ = 966131712.

The previous prime is 4608414691. The next prime is 4608414743. The reversal of 4608414720 is 274148064.

4608414720 is a `hidden beast` number, since 4 + 608 + 4 + 1 + 47 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 4606608384 = 1344^2 + 67872^2 .

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 71 ways as a sum of consecutive naturals, for example, 29352882 + ... + 29353038.

Almost surely, 2^4608414720 is an apocalyptic number.

4608414720 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 4608414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10065663972).

4608414720 is an abundant number, since it is smaller than the sum of its proper divisors (15522913224).

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

4608414720 is a wasteful number, since it uses less digits than its factorization.

4608414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

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

The square root of 4608414720 is about 67885.3056264756. The cubic root of 4608414720 is about 1664.1169789557.

The spelling of 4608414720 in words is "four billion, six hundred eight million, four hundred fourteen thousand, seven hundred twenty".