853899480 has 144 divisors (see below), whose sum is σ = 3228329520. Its totient is φ = 195172992.

The previous prime is 853899479. The next prime is 853899503. The reversal of 853899480 is 84998358.

It is a happy number.

853899480 is a `hidden beast` number, since 85 + 3 + 89 + 9 + 480 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6564 + ... + 41843.

It is an arithmetic number, because the mean of its divisors is an integer number (22418955).

Almost surely, 2^853899480 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 853899480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614164760).

853899480 is an abundant number, since it is smaller than the sum of its proper divisors (2374430040).

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

853899480 is a wasteful number, since it uses less digits than its factorization.

853899480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48438 (or 48424 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 853899480 is about 29221.5584799990. The cubic root of 853899480 is about 948.7145976677.

The spelling of 853899480 in words is "eight hundred fifty-three million, eight hundred ninety-nine thousand, four hundred eighty".