802350432 has 216 divisors, whose sum is σ = 2550405312. Its totient is φ = 237841920.

The previous prime is 802350427. The next prime is 802350467. The reversal of 802350432 is 234053208.

It is a junction number, because it is equal to n+sod(n) for n = 802350396 and 802350405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3597873 + ... + 3598095.

It is an arithmetic number, because the mean of its divisors is an integer number (11807432).

Almost surely, 2^802350432 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 802350432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275202656).

802350432 is an abundant number, since it is smaller than the sum of its proper divisors (1748054880).

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

802350432 is a wasteful number, since it uses less digits than its factorization.

802350432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 802350432 is about 28325.7909333526. The cubic root of 802350432 is about 929.2260227154.

The spelling of 802350432 in words is "eight hundred two million, three hundred fifty thousand, four hundred thirty-two".