853290240 has 144 divisors (see below), whose sum is σ = 2973087936. Its totient is φ = 206848000.

The previous prime is 853290239. The next prime is 853290253. The reversal of 853290240 is 42092358.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32140 + ... + 52340.

It is an arithmetic number, because the mean of its divisors is an integer number (20646444).

Almost surely, 2^853290240 is an apocalyptic number.

853290240 is a gapful number since it is divisible by the number (80) 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 853290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486543968).

853290240 is an abundant number, since it is smaller than the sum of its proper divisors (2119797696).

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

853290240 is a wasteful number, since it uses less digits than its factorization.

853290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20236 (or 20222 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 853290240 is about 29211.1321245857. The cubic root of 853290240 is about 948.4889144297.

The spelling of 853290240 in words is "eight hundred fifty-three million, two hundred ninety thousand, two hundred forty".