462981972960 has 768 divisors, whose sum is σ = 1777095936000. Its totient is φ = 111894773760.

The previous prime is 462981972953. The next prime is 462981973021. The reversal of 462981972960 is 69279189264.

462981972960 is a `hidden beast` number, since 46 + 298 + 19 + 7 + 296 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1054628421 + ... + 1054628859.

It is an arithmetic number, because the mean of its divisors is an integer number (2313927000).

Almost surely, 2^462981972960 is an apocalyptic number.

462981972960 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 462981972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888547968000).

462981972960 is an abundant number, since it is smaller than the sum of its proper divisors (1314113963040).

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

462981972960 is a wasteful number, since it uses less digits than its factorization.

462981972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 462981972960 in words is "four hundred sixty-two billion, nine hundred eighty-one million, nine hundred seventy-two thousand, nine hundred sixty".