461671560 has 96 divisors (see below), whose sum is σ = 1714789440. Its totient is φ = 105524352.

The previous prime is 461671517. The next prime is 461671591. The reversal of 461671560 is 65176164.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89082 + ... + 94121.

It is an arithmetic number, because the mean of its divisors is an integer number (17862390).

Almost surely, 2^461671560 is an apocalyptic number.

461671560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461671560 is an abundant number, since it is smaller than the sum of its proper divisors (1253117880).

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

461671560 is a wasteful number, since it uses less digits than its factorization.

461671560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183227 (or 183220 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 461671560 is about 21486.5436959973. The cubic root of 461671560 is about 772.8781696965.

It can be divided in two parts, 4616 and 71560, that added together give a square (76176 = 276²).

The spelling of 461671560 in words is "four hundred sixty-one million, six hundred seventy-one thousand, five hundred sixty".