829405248 has 224 divisors, whose sum is σ = 2743492608. Its totient is φ = 215654400.

The previous prime is 829405237. The next prime is 829405259. The reversal of 829405248 is 842504928.

It is an interprime number because it is at equal distance from previous prime (829405237) and next prime (829405259).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707703 + ... + 708873.

Almost surely, 2^829405248 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 829405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371746304).

829405248 is an abundant number, since it is smaller than the sum of its proper divisors (1914087360).

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

829405248 is a wasteful number, since it uses less digits than its factorization.

829405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 829405248 is about 28799.3966603469. The cubic root of 829405248 is about 939.5551116409. Note that the first 3 decimals are identical.

It can be divided in two parts, 82940 and 5248, that added together give a palindrome (88188).

The spelling of 829405248 in words is "eight hundred twenty-nine million, four hundred five thousand, two hundred forty-eight".