461242664460 has 144 divisors (see below), whose sum is σ = 1424239165440. Its totient is φ = 120804577920.

The previous prime is 461242664453. The next prime is 461242664479. The reversal of 461242664460 is 64466242164.

461242664460 is a `hidden beast` number, since 4 + 6 + 124 + 2 + 6 + 64 + 460 = 666.

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

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, 2631109 + ... + 2800931.

It is an arithmetic number, because the mean of its divisors is an integer number (9890549760).

Almost surely, 2^461242664460 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 461242664460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712119582720).

461242664460 is an abundant number, since it is smaller than the sum of its proper divisors (962996500980).

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

461242664460 is a wasteful number, since it uses less digits than its factorization.

461242664460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170108 (or 170103 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 461242664460 in words is "four hundred sixty-one billion, two hundred forty-two million, six hundred sixty-four thousand, four hundred sixty".