830015424 has 280 divisors, whose sum is σ = 2854573920. Its totient is φ = 233570304.

The previous prime is 830015411. The next prime is 830015447. The reversal of 830015424 is 424510038.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3229504 + ... + 3229760.

Almost surely, 2^830015424 is an apocalyptic number.

830015424 is a gapful number since it is divisible by the number (84) 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 830015424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427286960).

830015424 is an abundant number, since it is smaller than the sum of its proper divisors (2024558496).

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

830015424 is a wasteful number, since it uses less digits than its factorization.

830015424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 358 counting only the distinct ones).

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

The square root of 830015424 is about 28809.9882679601. The cubic root of 830015424 is about 939.7854588091.

The spelling of 830015424 in words is "eight hundred thirty million, fifteen thousand, four hundred twenty-four".