4612258560 has 576 divisors, whose sum is σ = 18493719552. Its totient is φ = 953745408.

The previous prime is 4612258487. The next prime is 4612258579. The reversal of 4612258560 is 658522164.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23412382 + ... + 23412578.

It is an arithmetic number, because the mean of its divisors is an integer number (32107152).

Almost surely, 2^4612258560 is an apocalyptic number.

4612258560 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 4612258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246859776).

4612258560 is an abundant number, since it is smaller than the sum of its proper divisors (13881460992).

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

4612258560 is a wasteful number, since it uses less digits than its factorization.

4612258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 4612258560 is about 67913.6110069256. The cubic root of 4612258560 is about 1664.5795257077.

The spelling of 4612258560 in words is "four billion, six hundred twelve million, two hundred fifty-eight thousand, five hundred sixty".