840457360 has 160 divisors (see below), whose sum is σ = 2103615360. Its totient is φ = 311808000.

The previous prime is 840457333. The next prime is 840457369. The reversal of 840457360 is 63754048.

It is not an unprimeable number, because it can be changed into a prime (840457369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8321310 + ... + 8321410.

It is an arithmetic number, because the mean of its divisors is an integer number (13147596).

Almost surely, 2^840457360 is an apocalyptic number.

840457360 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 840457360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051807680).

840457360 is an abundant number, since it is smaller than the sum of its proper divisors (1263158000).

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

840457360 is a wasteful number, since it uses less digits than its factorization.

840457360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 840457360 is about 28990.6426282689. The cubic root of 840457360 is about 943.7100097962.

The spelling of 840457360 in words is "eight hundred forty million, four hundred fifty-seven thousand, three hundred sixty".