461777560 has 32 divisors (see below), whose sum is σ = 1053239040. Its totient is φ = 182179584.

The previous prime is 461777549. The next prime is 461777567. The reversal of 461777560 is 65777164.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461777567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 76152 + ... + 81991.

It is an arithmetic number, because the mean of its divisors is an integer number (32913720).

Almost surely, 2^461777560 is an apocalyptic number.

461777560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461777560 is an abundant number, since it is smaller than the sum of its proper divisors (591461480).

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

461777560 is a wasteful number, since it uses less digits than its factorization.

461777560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158227 (or 158223 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The square root of 461777560 is about 21489.0102145259. The cubic root of 461777560 is about 772.9373162297.

The spelling of 461777560 in words is "four hundred sixty-one million, seven hundred seventy-seven thousand, five hundred sixty".