872286408 has 224 divisors, whose sum is σ = 2927491200. Its totient is φ = 238132224.

The previous prime is 872286391. The next prime is 872286413. The reversal of 872286408 is 804682278.

It is a happy number.

872286408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 938488 + ... + 939416.

Almost surely, 2^872286408 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 872286408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463745600).

872286408 is an abundant number, since it is smaller than the sum of its proper divisors (2055204792).

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

872286408 is a wasteful number, since it uses less digits than its factorization.

872286408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 872286408 is about 29534.4952216895. The cubic root of 872286408 is about 955.4758218389.

It can be divided in two parts, 87228 and 6408, that added together give a square (93636 = 306²).

The spelling of 872286408 in words is "eight hundred seventy-two million, two hundred eighty-six thousand, four hundred eight".