464530046976 has 216 divisors, whose sum is σ = 1352102136840. Its totient is φ = 153675104256.

The previous prime is 464530046969. The next prime is 464530046989. The reversal of 464530046976 is 679640035464.

It is a happy number.

464530046976 is a `hidden beast` number, since 4 + 64 + 53 + 0 + 0 + 469 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163969656 + ... + 163972488.

It is an arithmetic number, because the mean of its divisors is an integer number (6259732115).

Almost surely, 2^464530046976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464530046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676051068420).

464530046976 is an abundant number, since it is smaller than the sum of its proper divisors (887572089864).

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

464530046976 is an equidigital number, since it uses as much as digits as its factorization.

464530046976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

It can be divided in two parts, 46453004 and 6976, that added together give a triangular number (46459980 = T₉₆₃₉).

The spelling of 464530046976 in words is "four hundred sixty-four billion, five hundred thirty million, forty-six thousand, nine hundred seventy-six".