845940480 has 288 divisors, whose sum is σ = 3369558528. Its totient is φ = 175718400.

The previous prime is 845940479. The next prime is 845940481. The reversal of 845940480 is 84049548.

It is an interprime number because it is at equal distance from previous prime (845940479) and next prime (845940481).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845940481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294250 + ... + 297110.

It is an arithmetic number, because the mean of its divisors is an integer number (11699856).

Almost surely, 2^845940480 is an apocalyptic number.

845940480 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 845940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684779264).

845940480 is an abundant number, since it is smaller than the sum of its proper divisors (2523618048).

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

845940480 is a wasteful number, since it uses less digits than its factorization.

845940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 845940480 is about 29085.0559566249. The cubic root of 845940480 is about 945.7578087578.

The spelling of 845940480 in words is "eight hundred forty-five million, nine hundred forty thousand, four hundred eighty".