1820463984 has 200 divisors, whose sum is σ = 5547278880. Its totient is φ = 575258112.

The previous prime is 1820463977. The next prime is 1820463991. The reversal of 1820463984 is 4893640281.

It is a happy number.

1820463984 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 4 + 639 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1820463977) and next prime (1820463991).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4679662 + ... + 4680050.

Almost surely, 2^1820463984 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 1820463984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773639440).

1820463984 is an abundant number, since it is smaller than the sum of its proper divisors (3726814896).

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

1820463984 is a wasteful number, since it uses less digits than its factorization.

1820463984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1820463984 is about 42666.8956452189. The cubic root of 1820463984 is about 1221.0328939698.

The spelling of 1820463984 in words is "one billion, eight hundred twenty million, four hundred sixty-three thousand, nine hundred eighty-four".