853146504 has 96 divisors (see below), whose sum is σ = 2649054720. Its totient is φ = 242984448.

The previous prime is 853146467. The next prime is 853146533. The reversal of 853146504 is 405641358.

It is a happy number.

853146504 is a `hidden beast` number, since 8 + 5 + 3 + 146 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167337 + ... + 172359.

It is an arithmetic number, because the mean of its divisors is an integer number (27594320).

Almost surely, 2^853146504 is an apocalyptic number.

853146504 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 853146504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324527360).

853146504 is an abundant number, since it is smaller than the sum of its proper divisors (1795908216).

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

853146504 is a wasteful number, since it uses less digits than its factorization.

853146504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 853146504 is about 29208.6717260474. The cubic root of 853146504 is about 948.4356540611.

The spelling of 853146504 in words is "eight hundred fifty-three million, one hundred forty-six thousand, five hundred four".