4578400 has 72 divisors (see below), whose sum is σ = 11483640. Its totient is φ = 1781760.

The previous prime is 4578391. The next prime is 4578407. The reversal of 4578400 is 48754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4578407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47152 + ... + 47248.

It is an arithmetic number, because the mean of its divisors is an integer number (159495).

Almost surely, 2^4578400 is an apocalyptic number.

4578400 is a gapful number since it is divisible by the number (40) 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 4578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741820).

4578400 is an abundant number, since it is smaller than the sum of its proper divisors (6905240).

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

4578400 is a wasteful number, since it uses less digits than its factorization.

4578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 4578400 is about 2139.7196077991. The cubic root of 4578400 is about 166.0496295212.

The spelling of 4578400 in words is "four million, five hundred seventy-eight thousand, four hundred".