814445640 has 384 divisors, whose sum is σ = 3019161600. Its totient is φ = 189319680.

The previous prime is 814445561. The next prime is 814445669. The reversal of 814445640 is 46544418.

It is a happy number.

814445640 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 4 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 814445595 and 814445604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4876837 + ... + 4877003.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^814445640 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 814445640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

814445640 is an abundant number, since it is smaller than the sum of its proper divisors (2204715960).

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

814445640 is a wasteful number, since it uses less digits than its factorization.

814445640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 814445640 is about 28538.4940037137. The cubic root of 814445640 is about 933.8720285887.

The spelling of 814445640 in words is "eight hundred fourteen million, four hundred forty-five thousand, six hundred forty".