845284440 has 512 divisors, whose sum is σ = 3530096640. Its totient is φ = 156211200.

The previous prime is 845284423. The next prime is 845284457. The reversal of 845284440 is 44482548.

It is an interprime number because it is at equal distance from previous prime (845284423) and next prime (845284457).

It is a super-2 number, since 2×845284440² = 1429011569012227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3723607 + ... + 3723833.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^845284440 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 845284440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

845284440 is an abundant number, since it is smaller than the sum of its proper divisors (2684812200).

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

845284440 is a wasteful number, since it uses less digits than its factorization.

845284440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 39.

The square root of 845284440 is about 29073.7758125772. The cubic root of 845284440 is about 945.5132622333.

The spelling of 845284440 in words is "eight hundred forty-five million, two hundred eighty-four thousand, four hundred forty".