830436552 has 144 divisors (see below), whose sum is σ = 2489760000. Its totient is φ = 249860160.

The previous prime is 830436517. The next prime is 830436557. The reversal of 830436552 is 255634038.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (830436557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1733449 + ... + 1733927.

It is an arithmetic number, because the mean of its divisors is an integer number (17290000).

Almost surely, 2^830436552 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 830436552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244880000).

830436552 is an abundant number, since it is smaller than the sum of its proper divisors (1659323448).

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

830436552 is a wasteful number, since it uses less digits than its factorization.

830436552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 830436552 is about 28817.2960563617. The cubic root of 830436552 is about 939.9443727456.

The spelling of 830436552 in words is "eight hundred thirty million, four hundred thirty-six thousand, five hundred fifty-two".