830628440 has 128 divisors (see below), whose sum is σ = 2040422400. Its totient is φ = 303367680.

The previous prime is 830628433. The next prime is 830628467. The reversal of 830628440 is 44826038.

It is a self number, because there is not a number n which added to its sum of digits gives 830628440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4348745 + ... + 4348935.

It is an arithmetic number, because the mean of its divisors is an integer number (15940800).

Almost surely, 2^830628440 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 830628440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020211200).

830628440 is an abundant number, since it is smaller than the sum of its proper divisors (1209793960).

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

830628440 is a wasteful number, since it uses less digits than its factorization.

830628440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 830628440 is about 28820.6252534535. The cubic root of 830628440 is about 940.0167644513.

The spelling of 830628440 in words is "eight hundred thirty million, six hundred twenty-eight thousand, four hundred forty".