464590020384 has 672 divisors, whose sum is σ = 1663324951680. Its totient is φ = 124721565696.

The previous prime is 464590020379. The next prime is 464590020407. The reversal of 464590020384 is 483020095464.

464590020384 is a `hidden beast` number, since 4 + 6 + 4 + 590 + 0 + 20 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 425058942 + ... + 425060034.

It is an arithmetic number, because the mean of its divisors is an integer number (2475185940).

Almost surely, 2^464590020384 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 464590020384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831662475840).

464590020384 is an abundant number, since it is smaller than the sum of its proper divisors (1198734931296).

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

464590020384 is a wasteful number, since it uses less digits than its factorization.

464590020384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 464590020384 in words is "four hundred sixty-four billion, five hundred ninety million, twenty thousand, three hundred eighty-four".