461763016 has 64 divisors (see below), whose sum is σ = 1023684480. Its totient is φ = 192506880.

The previous prime is 461763013. The next prime is 461763047. The reversal of 461763016 is 610367164.

It is not an unprimeable number, because it can be changed into a prime (461763013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189840 + ... + 192256.

It is an arithmetic number, because the mean of its divisors is an integer number (15995070).

Almost surely, 2^461763016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461763016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

461763016 is an abundant number, since it is smaller than the sum of its proper divisors (561921464).

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

461763016 is a wasteful number, since it uses less digits than its factorization.

461763016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 461763016 is about 21488.6718063262. The cubic root of 461763016 is about 772.9292014148.

The spelling of 461763016 in words is "four hundred sixty-one million, seven hundred sixty-three thousand, sixteen".