849429504 has 660 divisors, whose sum is σ = 3388358160. Its totient is φ = 209018880.

The previous prime is 849429499. The next prime is 849429547. The reversal of 849429504 is 405924948.

It is a self number, because there is not a number n which added to its sum of digits gives 849429504.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44706807 + ... + 44706825.

It is an arithmetic number, because the mean of its divisors is an integer number (5133876).

Almost surely, 2^849429504 is an apocalyptic number.

849429504 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 849429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694179080).

849429504 is an abundant number, since it is smaller than the sum of its proper divisors (2538928656).

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

849429504 is a wasteful number, since it uses less digits than its factorization.

849429504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 849429504 is about 29144.9739063187. The cubic root of 849429504 is about 947.0562631904.

The spelling of 849429504 in words is "eight hundred forty-nine million, four hundred twenty-nine thousand, five hundred four".