873409152 has 256 divisors, whose sum is σ = 2929766400. Its totient is φ = 223948800.

The previous prime is 873409151. The next prime is 873409171. The reversal of 873409152 is 251904378.

It is a self number, because there is not a number n which added to its sum of digits gives 873409152.

It is not an unprimeable number, because it can be changed into a prime (873409151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3222777 + ... + 3223047.

It is an arithmetic number, because the mean of its divisors is an integer number (11444400).

Almost surely, 2^873409152 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 873409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464883200).

873409152 is an abundant number, since it is smaller than the sum of its proper divisors (2056357248).

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

873409152 is a wasteful number, since it uses less digits than its factorization.

873409152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 873409152 is about 29553.4964428915. The cubic root of 873409152 is about 955.8855858826.

The spelling of 873409152 in words is "eight hundred seventy-three million, four hundred nine thousand, one hundred fifty-two".