870009504 has 288 divisors, whose sum is σ = 2939219136. Its totient is φ = 223211520.

The previous prime is 870009467. The next prime is 870009509. The reversal of 870009504 is 405900078.

870009504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (870009509) 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, 2507059 + ... + 2507405.

It is an arithmetic number, because the mean of its divisors is an integer number (10205622).

Almost surely, 2^870009504 is an apocalyptic number.

870009504 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 870009504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469609568).

870009504 is an abundant number, since it is smaller than the sum of its proper divisors (2069209632).

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

870009504 is a wasteful number, since it uses less digits than its factorization.

870009504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 870009504 is about 29495.9235149537. The cubic root of 870009504 is about 954.6437471307.

The spelling of 870009504 in words is "eight hundred seventy million, nine thousand, five hundred four".