830490240 has 128 divisors (see below), whose sum is σ = 2665872000. Its totient is φ = 219901952.

The previous prime is 830490203. The next prime is 830490251. The reversal of 830490240 is 42094038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 830490198 and 830490207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284629 + ... + 287531.

It is an arithmetic number, because the mean of its divisors is an integer number (20827125).

Almost surely, 2^830490240 is an apocalyptic number.

830490240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332936000).

830490240 is an abundant number, since it is smaller than the sum of its proper divisors (1835381760).

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

830490240 is a wasteful number, since it uses less digits than its factorization.

830490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 830490240 is about 28818.2275652060. The cubic root of 830490240 is about 939.9646282148.

The spelling of 830490240 in words is "eight hundred thirty million, four hundred ninety thousand, two hundred forty".