886402440 has 960 divisors, whose sum is σ = 4171305600. Its totient is φ = 164229120.

The previous prime is 886402409. The next prime is 886402441. The reversal of 886402440 is 44204688.

886402440 is a `hidden beast` number, since 8 + 8 + 640 + 2 + 4 + 4 + 0 = 666.

886402440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 = 886402395 and 886402404.

It is not an unprimeable number, because it can be changed into a prime (886402441) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 46652751 + ... + 46652769.

It is an arithmetic number, because the mean of its divisors is an integer number (4345110).

Almost surely, 2^886402440 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 886402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085652800).

886402440 is an abundant number, since it is smaller than the sum of its proper divisors (3284903160).

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

886402440 is a wasteful number, since it uses less digits than its factorization.

886402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 886402440 is about 29772.5114829099. The cubic root of 886402440 is about 960.6023563447.

The spelling of 886402440 in words is "eight hundred eighty-six million, four hundred two thousand, four hundred forty".