845395440 has 80 divisors (see below), whose sum is σ = 2626144416. Its totient is φ = 224972800.

The previous prime is 845395427. The next prime is 845395457. The reversal of 845395440 is 44593548.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 845395392 and 845395401.

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, 121660 + ... + 128420.

Almost surely, 2^845395440 is an apocalyptic number.

845395440 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 845395440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313072208).

845395440 is an abundant number, since it is smaller than the sum of its proper divisors (1780748976).

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

845395440 is a wasteful number, since it uses less digits than its factorization.

845395440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7298 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 845395440 is about 29075.6846866931. The cubic root of 845395440 is about 945.5546476627.

The spelling of 845395440 in words is "eight hundred forty-five million, three hundred ninety-five thousand, four hundred forty".