461430060 has 144 divisors (see below), whose sum is σ = 1618688736. Its totient is φ = 97348608.

The previous prime is 461430041. The next prime is 461430083. The reversal of 461430060 is 60034164.

It is a self number, because there is not a number n which added to its sum of digits gives 461430060.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32184 + ... + 44256.

It is an arithmetic number, because the mean of its divisors is an integer number (11240894).

Almost surely, 2^461430060 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 461430060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809344368).

461430060 is an abundant number, since it is smaller than the sum of its proper divisors (1157258676).

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

461430060 is a wasteful number, since it uses less digits than its factorization.

461430060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112 (or 12103 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 461430060 is about 21480.9231645197. The cubic root of 461430060 is about 772.7433822205.

The spelling of 461430060 in words is "four hundred sixty-one million, four hundred thirty thousand, sixty".