461105568 has 384 divisors, whose sum is σ = 1741824000. Its totient is φ = 115153920.

The previous prime is 461105531. The next prime is 461105599. The reversal of 461105568 is 865501164.

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 63 ways as a sum of consecutive naturals, for example, 1929193 + ... + 1929431.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^461105568 is an apocalyptic number.

461105568 is a gapful number since it is divisible by the number (48) 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 461105568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

461105568 is an abundant number, since it is smaller than the sum of its proper divisors (1280718432).

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

461105568 is a wasteful number, since it uses less digits than its factorization.

461105568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 461105568 is about 21473.3688088292. The cubic root of 461105568 is about 772.5622006660.

The spelling of 461105568 in words is "four hundred sixty-one million, one hundred five thousand, five hundred sixty-eight".