461180160 has 648 divisors, whose sum is σ = 1999277280. Its totient is φ = 97542144.

The previous prime is 461180143. The next prime is 461180183. The reversal of 461180160 is 61081164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10725099 + ... + 10725141.

Almost surely, 2^461180160 is an apocalyptic number.

461180160 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 461180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999638640).

461180160 is an abundant number, since it is smaller than the sum of its proper divisors (1538097120).

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

461180160 is a wasteful number, since it uses less digits than its factorization.

461180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 461180160 is about 21475.1055876333. The cubic root of 461180160 is about 772.6038569638.

The spelling of 461180160 in words is "four hundred sixty-one million, one hundred eighty thousand, one hundred sixty".