461777760 has 336 divisors, whose sum is σ = 1695584016. Its totient is φ = 118692864.

The previous prime is 461777741. The next prime is 461777761. The reversal of 461777760 is 67777164.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461777761) 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 55 ways as a sum of consecutive naturals, for example, 4315627 + ... + 4315733.

It is an arithmetic number, because the mean of its divisors is an integer number (5046381).

Almost surely, 2^461777760 is an apocalyptic number.

461777760 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 461777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847792008).

461777760 is an abundant number, since it is smaller than the sum of its proper divisors (1233806256).

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

461777760 is a wasteful number, since it uses less digits than its factorization.

461777760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 461777760 is about 21489.0148680669. The cubic root of 461777760 is about 772.9374278184.

The spelling of 461777760 in words is "four hundred sixty-one million, seven hundred seventy-seven thousand, seven hundred sixty".