852445440 has 648 divisors, whose sum is σ = 3799583424. Its totient is φ = 171417600.

The previous prime is 852445423. The next prime is 852445453. The reversal of 852445440 is 44544258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 852445395 and 852445404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27498225 + ... + 27498255.

Almost surely, 2^852445440 is an apocalyptic number.

852445440 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 852445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899791712).

852445440 is an abundant number, since it is smaller than the sum of its proper divisors (2947137984).

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

852445440 is a wasteful number, since it uses less digits than its factorization.

852445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 852445440 is about 29196.6683030787. The cubic root of 852445440 is about 948.1757939229.

Adding to 852445440 its reverse (44544258), we get a palindrome (896989698).

The spelling of 852445440 in words is "eight hundred fifty-two million, four hundred forty-five thousand, four hundred forty".