886494400 has 252 divisors, whose sum is σ = 2534325640. Its totient is φ = 304128000.

The previous prime is 886494397. The next prime is 886494409. The reversal of 886494400 is 4494688.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (886494409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3678280 + ... + 3678520.

Almost surely, 2^886494400 is an apocalyptic number.

886494400 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 886494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267162820).

886494400 is an abundant number, since it is smaller than the sum of its proper divisors (1647831240).

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

886494400 is a wasteful number, since it uses less digits than its factorization.

886494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 886494400 is about 29774.0558204622. The cubic root of 886494400 is about 960.6355744911.

The spelling of 886494400 in words is "eight hundred eighty-six million, four hundred ninety-four thousand, four hundred".