829400112 has 60 divisors (see below), whose sum is σ = 2341755624. Its totient is φ = 274014720.

The previous prime is 829400069. The next prime is 829400123. The reversal of 829400112 is 211004928.

It is a super-2 number, since 2×829400112² = 1375809091571225088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9214 + ... + 41757.

Almost surely, 2^829400112 is an apocalyptic number.

It is an amenable number.

829400112 is an abundant number, since it is smaller than the sum of its proper divisors (1512355512).

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

829400112 is a wasteful number, since it uses less digits than its factorization.

829400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51098 (or 51089 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 829400112 is about 28799.3074916742. The cubic root of 829400112 is about 939.5531722733.

The spelling of 829400112 in words is "eight hundred twenty-nine million, four hundred thousand, one hundred twelve".