845919456 has 96 divisors (see below), whose sum is σ = 2414875680. Its totient is φ = 258195456.

The previous prime is 845919433. The next prime is 845919479. The reversal of 845919456 is 654919548.

845919456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (845919433) and next prime (845919479).

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 845919399 and 845919408.

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, 53380 + ... + 67388.

It is an arithmetic number, because the mean of its divisors is an integer number (25154955).

Almost surely, 2^845919456 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 845919456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207437840).

845919456 is an abundant number, since it is smaller than the sum of its proper divisors (1568956224).

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

845919456 is a wasteful number, since it uses less digits than its factorization.

845919456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076 (or 14068 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 845919456 is about 29084.6945316605. The cubic root of 845919456 is about 945.7499737791.

The spelling of 845919456 in words is "eight hundred forty-five million, nine hundred nineteen thousand, four hundred fifty-six".