852390240 has 96 divisors (see below), whose sum is σ = 2891591136. Its totient is φ = 209817600.

The previous prime is 852390223. The next prime is 852390241. The reversal of 852390240 is 42093258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852390241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62061 + ... + 74540.

It is an arithmetic number, because the mean of its divisors is an integer number (30120741).

Almost surely, 2^852390240 is an apocalyptic number.

852390240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852390240 is an abundant number, since it is smaller than the sum of its proper divisors (2039200896).

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

852390240 is a wasteful number, since it uses less digits than its factorization.

852390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136632 (or 136624 counting only the distinct ones).

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

The square root of 852390240 is about 29195.7229744358. The cubic root of 852390240 is about 948.1553271453.

The spelling of 852390240 in words is "eight hundred fifty-two million, three hundred ninety thousand, two hundred forty".