830421504 has 320 divisors, whose sum is σ = 2765537280. Its totient is φ = 243855360.

The previous prime is 830421481. The next prime is 830421523. The reversal of 830421504 is 405124038.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6538689 + ... + 6538815.

It is an arithmetic number, because the mean of its divisors is an integer number (8642304).

Almost surely, 2^830421504 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 830421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382768640).

830421504 is an abundant number, since it is smaller than the sum of its proper divisors (1935115776).

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

830421504 is a wasteful number, since it uses less digits than its factorization.

830421504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 830421504 is about 28817.0349619804. The cubic root of 830421504 is about 939.9386952625.

The spelling of 830421504 in words is "eight hundred thirty million, four hundred twenty-one thousand, five hundred four".