470022400 has 81 divisors (see below), whose sum is σ = 1167687633. Its totient is φ = 187315200.

The previous prime is 470022389. The next prime is 470022451. The reversal of 470022400 is 4220074.

The square root of 470022400 is 21680.

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., 169208064 + 300814336 = 13008^2 + 17344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1734265 + ... + 1734535.

Almost surely, 2^470022400 is an apocalyptic number.

470022400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

470022400 is the 21680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470022400

470022400 is an abundant number, since it is smaller than the sum of its proper divisors (697665233).

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

470022400 is an frugal number, since it uses more digits than its factorization.

470022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The cubic root of 470022400 is about 777.5103612795.

Adding to 470022400 its reverse (4220074), we get a palindrome (474242474).

The spelling of 470022400 in words is "four hundred seventy million, twenty-two thousand, four hundred".