8942400 has 252 divisors, whose sum is σ = 34393632. Its totient is φ = 2280960.

The previous prime is 8942393. The next prime is 8942413. The reversal of 8942400 is 42498.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388789 + ... + 388811.

Almost surely, 2^8942400 is an apocalyptic number.

8942400 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 8942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196816).

8942400 is an abundant number, since it is smaller than the sum of its proper divisors (25451232).

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

8942400 is a wasteful number, since it uses less digits than its factorization.

8942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8942400 is about 2990.3845906505. The cubic root of 8942400 is about 207.5636810400.

Adding to 8942400 its reverse (42498), we get a palindrome (8984898).

The spelling of 8942400 in words is "eight million, nine hundred forty-two thousand, four hundred".