829142496 has 288 divisors, whose sum is σ = 3074355648. Its totient is φ = 205701120.

The previous prime is 829142491. The next prime is 829142507. The reversal of 829142496 is 694241928.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×829142496² = 1374954557346220032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829142491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444606 + ... + 446466.

It is an arithmetic number, because the mean of its divisors is an integer number (10674846).

Almost surely, 2^829142496 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 829142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537177824).

829142496 is an abundant number, since it is smaller than the sum of its proper divisors (2245213152).

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

829142496 is a wasteful number, since it uses less digits than its factorization.

829142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1903 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 829142496 is about 28794.8345367707. The cubic root of 829142496 is about 939.4558854950.

The spelling of 829142496 in words is "eight hundred twenty-nine million, one hundred forty-two thousand, four hundred ninety-six".