845484480 has 336 divisors, whose sum is σ = 3075456384. Its totient is φ = 221045760.

The previous prime is 845484383. The next prime is 845484517. The reversal of 845484480 is 84484548.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6454015 + ... + 6454145.

It is an arithmetic number, because the mean of its divisors is an integer number (9153144).

Almost surely, 2^845484480 is an apocalyptic number.

845484480 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 845484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537728192).

845484480 is an abundant number, since it is smaller than the sum of its proper divisors (2229971904).

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

845484480 is a wasteful number, since it uses less digits than its factorization.

845484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 845484480 is about 29077.2158227021. The cubic root of 845484480 is about 945.5878428698.

The spelling of 845484480 in words is "eight hundred forty-five million, four hundred eighty-four thousand, four hundred eighty".