830898432 has 288 divisors, whose sum is σ = 3026428160. Its totient is φ = 218972160.

The previous prime is 830898427. The next prime is 830898433. The reversal of 830898432 is 234898038.

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 (830898433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628332 + ... + 629652.

Almost surely, 2^830898432 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 830898432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513214080).

830898432 is an abundant number, since it is smaller than the sum of its proper divisors (2195529728).

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

830898432 is a wasteful number, since it uses less digits than its factorization.

830898432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 830898432 is about 28825.3088795246. The cubic root of 830898432 is about 940.1186028106.

The spelling of 830898432 in words is "eight hundred thirty million, eight hundred ninety-eight thousand, four hundred thirty-two".