461947590720 has 672 divisors, whose sum is σ = 2010606713856. Its totient is φ = 94553395200.

The previous prime is 461947590707. The next prime is 461947590763. The reversal of 461947590720 is 27095749164.

461947590720 is a `hidden beast` number, since 4 + 6 + 1 + 9 + 47 + 590 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14842375 + ... + 14873465.

Almost surely, 2^461947590720 is an apocalyptic number.

461947590720 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 461947590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005303356928).

461947590720 is an abundant number, since it is smaller than the sum of its proper divisors (1548659123136).

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

461947590720 is a wasteful number, since it uses less digits than its factorization.

461947590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31199 (or 31186 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 461947590720 in words is "four hundred sixty-one billion, nine hundred forty-seven million, five hundred ninety thousand, seven hundred twenty".