461413146260 has 192 divisors, whose sum is σ = 1149394821120. Its totient is φ = 153708871680.

The previous prime is 461413146253. The next prime is 461413146287. The reversal of 461413146260 is 62641314164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25164776 + ... + 25183104.

It is an arithmetic number, because the mean of its divisors is an integer number (5986431360).

Almost surely, 2^461413146260 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 461413146260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574697410560).

461413146260 is an abundant number, since it is smaller than the sum of its proper divisors (687981674860).

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

461413146260 is a wasteful number, since it uses less digits than its factorization.

461413146260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18546 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 461413146260 in words is "four hundred sixty-one billion, four hundred thirteen million, one hundred forty-six thousand, two hundred sixty".