819484940 has 48 divisors (see below), whose sum is σ = 1829677248. Its totient is φ = 307617024.

The previous prime is 819484937. The next prime is 819484957. The reversal of 819484940 is 49484918.

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, 7574 + ... + 41186.

It is an arithmetic number, because the mean of its divisors is an integer number (38118276).

Almost surely, 2^819484940 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 819484940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914838624).

819484940 is an abundant number, since it is smaller than the sum of its proper divisors (1010192308).

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

819484940 is a wasteful number, since it uses less digits than its factorization.

819484940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33698 (or 33696 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 819484940 is about 28626.6473761773. The cubic root of 819484940 is about 935.7941492793.

The spelling of 819484940 in words is "eight hundred nineteen million, four hundred eighty-four thousand, nine hundred forty".