830964420 has 480 divisors, whose sum is σ = 3258009216. Its totient is φ = 174182400.

The previous prime is 830964367. The next prime is 830964439. The reversal of 830964420 is 24469038.

It is a happy number.

830964420 is a `hidden beast` number, since 8 + 3 + 0 + 9 + 644 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3938115 + ... + 3938325.

Almost surely, 2^830964420 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 830964420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629004608).

830964420 is an abundant number, since it is smaller than the sum of its proper divisors (2427044796).

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

830964420 is a wasteful number, since it uses less digits than its factorization.

830964420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 830964420 is about 28826.4534759307. The cubic root of 830964420 is about 940.1434894882.

The spelling of 830964420 in words is "eight hundred thirty million, nine hundred sixty-four thousand, four hundred twenty".