461506560 has 192 divisors, whose sum is σ = 1502504640. Its totient is φ = 120913920.

The previous prime is 461506553. The next prime is 461506601. The reversal of 461506560 is 65605164.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2549670 + ... + 2549850.

It is an arithmetic number, because the mean of its divisors is an integer number (7825545).

Almost surely, 2^461506560 is an apocalyptic number.

461506560 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 461506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751252320).

461506560 is an abundant number, since it is smaller than the sum of its proper divisors (1040998080).

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

461506560 is a wasteful number, since it uses less digits than its factorization.

461506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 461506560 is about 21482.7037404513. The cubic root of 461506560 is about 772.7860839626.

The spelling of 461506560 in words is "four hundred sixty-one million, five hundred six thousand, five hundred sixty".