461347660800 has 528 divisors, whose sum is σ = 1824556276480. Its totient is φ = 113560289280.

The previous prime is 461347660799. The next prime is 461347660831. The reversal of 461347660800 is 8066743164.

It is a happy number.

461347660800 is a `hidden beast` number, since 4 + 6 + 1 + 34 + 7 + 6 + 608 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8959929 + ... + 9011271.

Almost surely, 2^461347660800 is an apocalyptic number.

461347660800 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 461347660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912278138240).

461347660800 is an abundant number, since it is smaller than the sum of its proper divisors (1363208615680).

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

461347660800 is a wasteful number, since it uses less digits than its factorization.

461347660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51395 (or 51366 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 461347660800 in words is "four hundred sixty-one billion, three hundred forty-seven million, six hundred sixty thousand, eight hundred".