8850400 has 144 divisors (see below), whose sum is σ = 24935904. Its totient is φ = 3041280.

The previous prime is 8850379. The next prime is 8850403. The reversal of 8850400 is 40588.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8850403) 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, 239182 + ... + 239218.

It is an arithmetic number, because the mean of its divisors is an integer number (173166).

Almost surely, 2^8850400 is an apocalyptic number.

8850400 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 8850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467952).

8850400 is an abundant number, since it is smaller than the sum of its proper divisors (16085504).

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

8850400 is a wasteful number, since it uses less digits than its factorization.

8850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 8850400 is about 2974.9621846336. The cubic root of 8850400 is about 206.8494163377.

Adding to 8850400 its reverse (40588), we get a palindrome (8890988).

The spelling of 8850400 in words is "eight million, eight hundred fifty thousand, four hundred".