4655405160 has 384 divisors, whose sum is σ = 18632540160. Its totient is φ = 984614400.

The previous prime is 4655405107. The next prime is 4655405201. The reversal of 4655405160 is 615045564.

4655405160 is a `hidden beast` number, since 4 + 6 + 5 + 540 + 51 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1795465 + ... + 1798055.

It is an arithmetic number, because the mean of its divisors is an integer number (48522240).

Almost surely, 2^4655405160 is an apocalyptic number.

4655405160 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 4655405160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316270080).

4655405160 is an abundant number, since it is smaller than the sum of its proper divisors (13977135000).

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

4655405160 is a wasteful number, since it uses less digits than its factorization.

4655405160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4655405160 is about 68230.5295304089. The cubic root of 4655405160 is about 1669.7540077747.

It can be divided in two parts, 465 and 5405160, that added together give a square (5405625 = 2325²).

The spelling of 4655405160 in words is "four billion, six hundred fifty-five million, four hundred five thousand, one hundred sixty".