461247646860 has 1536 divisors, whose sum is σ = 2053442764800. Its totient is φ = 82771476480.

The previous prime is 461247646831. The next prime is 461247646861. The reversal of 461247646860 is 68646742164.

It is a happy number.

461247646860 is a `hidden beast` number, since 46 + 12 + 4 + 76 + 468 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 461247646797 and 461247646806.

It is not an unprimeable number, because it can be changed into a prime (461247646861) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 996214989 + ... + 996215451.

It is an arithmetic number, because the mean of its divisors is an integer number (1336876800).

Almost surely, 2^461247646860 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 461247646860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026721382400).

461247646860 is an abundant number, since it is smaller than the sum of its proper divisors (1592195117940).

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

461247646860 is a wasteful number, since it uses less digits than its factorization.

461247646860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 461247646860 in words is "four hundred sixty-one billion, two hundred forty-seven million, six hundred forty-six thousand, eight hundred sixty".