461052480000 has 1600 divisors, whose sum is σ = 1938987325440. Its totient is φ = 94887936000.

The previous prime is 461052479941. The next prime is 461052480017. The reversal of 461052480000 is 84250164.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 461052480000.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 2936639922 + ... + 2936640078.

Almost surely, 2^461052480000 is an apocalyptic number.

461052480000 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 461052480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969493662720).

461052480000 is an abundant number, since it is smaller than the sum of its proper divisors (1477934845440).

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

461052480000 is a wasteful number, since it uses less digits than its factorization.

461052480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 461052480000 in words is "four hundred sixty-one billion, fifty-two million, four hundred eighty thousand".