8474400 has 216 divisors, whose sum is σ = 32904144. Its totient is φ = 2035200.

The previous prime is 8474387. The next prime is 8474407. The reversal of 8474400 is 44748.

It is not an unprimeable number, because it can be changed into a prime (8474407) 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, 79147 + ... + 79253.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^8474400 is an apocalyptic number.

8474400 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 8474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).

8474400 is an abundant number, since it is smaller than the sum of its proper divisors (24429744).

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

8474400 is a wasteful number, since it uses less digits than its factorization.

8474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 8474400 is about 2911.0822729700. The cubic root of 8474400 is about 203.8776659849.

The spelling of 8474400 in words is "eight million, four hundred seventy-four thousand, four hundred".