802473984 has 288 divisors, whose sum is σ = 2656213560. Its totient is φ = 231211008.

The previous prime is 802473983. The next prime is 802474003. The reversal of 802473984 is 489374208.

It can be written as a sum of positive squares in 4 ways, for example, as 791184384 + 11289600 = 28128^2 + 3360^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (802473983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4073374 + ... + 4073570.

Almost surely, 2^802473984 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 802473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328106780).

802473984 is an abundant number, since it is smaller than the sum of its proper divisors (1853739576).

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

802473984 is a wasteful number, since it uses less digits than its factorization.

802473984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 802473984 is about 28327.9717593759. The cubic root of 802473984 is about 929.2737166891.

The spelling of 802473984 in words is "eight hundred two million, four hundred seventy-three thousand, nine hundred eighty-four".