821484384 has 96 divisors (see below), whose sum is σ = 2521854720. Its totient is φ = 229243392.

The previous prime is 821484379. The next prime is 821484439. The reversal of 821484384 is 483484128.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14682 + ... + 43110.

It is an arithmetic number, because the mean of its divisors is an integer number (26269320).

Almost surely, 2^821484384 is an apocalyptic number.

821484384 is a gapful number since it is divisible by the number (84) 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 821484384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260927360).

821484384 is an abundant number, since it is smaller than the sum of its proper divisors (1700370336).

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

821484384 is a wasteful number, since it uses less digits than its factorization.

821484384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28492 (or 28484 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 821484384 is about 28661.5488765000. The cubic root of 821484384 is about 936.5546059347.

The spelling of 821484384 in words is "eight hundred twenty-one million, four hundred eighty-four thousand, three hundred eighty-four".