461096712 has 160 divisors (see below), whose sum is σ = 1440093600. Its totient is φ = 136982016.

The previous prime is 461096687. The next prime is 461096717. The reversal of 461096712 is 217690164.

It is a super-2 number, since 2×461096712² = 425220355634421888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (461096717) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208203 + ... + 210405.

It is an arithmetic number, because the mean of its divisors is an integer number (9000585).

Almost surely, 2^461096712 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 461096712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720046800).

461096712 is an abundant number, since it is smaller than the sum of its proper divisors (978996888).

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

461096712 is a wasteful number, since it uses less digits than its factorization.

461096712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 461096712 is about 21473.1625989280. The cubic root of 461096712 is about 772.5572546875.

The spelling of 461096712 in words is "four hundred sixty-one million, ninety-six thousand, seven hundred twelve".