4478286400 has 189 divisors, whose sum is σ = 12872324649. Its totient is φ = 1528988160.

The previous prime is 4478286367. The next prime is 4478286403. The reversal of 4478286400 is 46828744.

The square root of 4478286400 is 66920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1612183104 + 2866103296 = 40152^2 + 53536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4478286403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18737481 + ... + 18737719.

Almost surely, 2^4478286400 is an apocalyptic number.

4478286400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4478286400 is the 66920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4478286400

4478286400 is an abundant number, since it is smaller than the sum of its proper divisors (8394038249).

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

4478286400 is an equidigital number, since it uses as much as digits as its factorization.

4478286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The cubic root of 4478286400 is about 1648.3039075688.

The spelling of 4478286400 in words is "four billion, four hundred seventy-eight million, two hundred eighty-six thousand, four hundred".