854002440 has 320 divisors, whose sum is σ = 3038310000. Its totient is φ = 214824960.

The previous prime is 854002393. The next prime is 854002511. The reversal of 854002440 is 44200458.

It can be written as a sum of positive squares in 8 ways, for example, as 35928036 + 818074404 = 5994^2 + 28602^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5731486 + ... + 5731634.

Almost surely, 2^854002440 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 854002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519155000).

854002440 is an abundant number, since it is smaller than the sum of its proper divisors (2184307560).

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

854002440 is a wasteful number, since it uses less digits than its factorization.

854002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 854002440 is about 29223.3201399157. The cubic root of 854002440 is about 948.7527269524.

Adding to 854002440 its reverse (44200458), we get a palindrome (898202898).

The spelling of 854002440 in words is "eight hundred fifty-four million, two thousand, four hundred forty".