802284420 has 192 divisors, whose sum is σ = 2677248000. Its totient is φ = 175633920.

The previous prime is 802284403. The next prime is 802284437. The reversal of 802284420 is 24482208.

It is an interprime number because it is at equal distance from previous prime (802284403) and next prime (802284437).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2423655 + ... + 2423985.

It is an arithmetic number, because the mean of its divisors is an integer number (13944000).

Almost surely, 2^802284420 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 802284420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338624000).

802284420 is an abundant number, since it is smaller than the sum of its proper divisors (1874963580).

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

802284420 is a wasteful number, since it uses less digits than its factorization.

802284420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 802284420 is about 28324.6256815514. The cubic root of 802284420 is about 929.2005385263.

It can be divided in two parts, 80228 and 4420, that added together give a palindrome (84648).

The spelling of 802284420 in words is "eight hundred two million, two hundred eighty-four thousand, four hundred twenty".