461600172343260 has 384 divisors, whose sum is σ = 1474028760556800. Its totient is φ = 119853546946560.

The previous prime is 461600172343217. The next prime is 461600172343273. The reversal of 461600172343260 is 62343271006164.

461600172343260 is a `hidden beast` number, since 4 + 6 + 1 + 600 + 1 + 7 + 2 + 3 + 4 + 32 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27331400896 + ... + 27331417784.

It is an arithmetic number, because the mean of its divisors is an integer number (3838616563950).

Almost surely, 2^{461600172343260} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461600172343260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737014380278400).

461600172343260 is an abundant number, since it is smaller than the sum of its proper divisors (1012428588213540).

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

461600172343260 is a wasteful number, since it uses less digits than its factorization.

461600172343260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19318 (or 19310 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 461600172343260 in words is "four hundred sixty-one trillion, six hundred billion, one hundred seventy-two million, three hundred forty-three thousand, two hundred sixty".