460961006976 has 512 divisors, whose sum is σ = 1452173184000. Its totient is φ = 143645736960.

The previous prime is 460961006939. The next prime is 460961007007. The reversal of 460961006976 is 679600169064.

460961006976 is a `hidden beast` number, since 460 + 9 + 6 + 100 + 6 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719127616 + ... + 719128256.

It is an arithmetic number, because the mean of its divisors is an integer number (2836275750).

Almost surely, 2^460961006976 is an apocalyptic number.

460961006976 is a gapful number since it is divisible by the number (46) 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 460961006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726086592000).

460961006976 is an abundant number, since it is smaller than the sum of its proper divisors (991212177024).

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

460961006976 is a wasteful number, since it uses less digits than its factorization.

460961006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 460961006976 in words is "four hundred sixty billion, nine hundred sixty-one million, six thousand, nine hundred seventy-six".