886430400 has 168 divisors, whose sum is σ = 2929883904. Its totient is φ = 234624000.

The previous prime is 886430393. The next prime is 886430407. The reversal of 886430400 is 4034688.

886430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (886430393) and next prime (886430407).

It is not an unprimeable number, because it can be changed into a prime (886430407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724189 + ... + 725411.

Almost surely, 2^886430400 is an apocalyptic number.

886430400 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 886430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464941952).

886430400 is an abundant number, since it is smaller than the sum of its proper divisors (2043453504).

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

886430400 is a wasteful number, since it uses less digits than its factorization.

886430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 886430400 is about 29772.9810398623. The cubic root of 886430400 is about 960.6124564070.

The spelling of 886430400 in words is "eight hundred eighty-six million, four hundred thirty thousand, four hundred".