461956608000 has 1248 divisors, whose sum is σ = 1786052136960. Its totient is φ = 119041228800.

The previous prime is 461956607941. The next prime is 461956608013. The reversal of 461956608000 is 806659164.

461956608000 is a `hidden beast` number, since 4 + 6 + 1 + 9 + 566 + 0 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5847551961 + ... + 5847552039.

It is an arithmetic number, because the mean of its divisors is an integer number (1431131520).

Almost surely, 2^461956608000 is an apocalyptic number.

461956608000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461956608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893026068480).

461956608000 is an abundant number, since it is smaller than the sum of its proper divisors (1324095528960).

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

461956608000 is an frugal number, since it uses more digits than its factorization.

461956608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 461956608000 in words is "four hundred sixty-one billion, nine hundred fifty-six million, six hundred eight thousand".