470032200 has 384 divisors, whose sum is σ = 1818633600. Its totient is φ = 110592000.

The previous prime is 470032187. The next prime is 470032217. The reversal of 470032200 is 2230074.

It is a happy number.

It is a super-3 number, since 3×470032200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 2435304 + ... + 2435496.

It is an arithmetic number, because the mean of its divisors is an integer number (4736025).

Almost surely, 2^470032200 is an apocalyptic number.

470032200 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 470032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909316800).

470032200 is an abundant number, since it is smaller than the sum of its proper divisors (1348601400).

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

470032200 is a wasteful number, since it uses less digits than its factorization.

470032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 470032200 is about 21680.2260135821. The cubic root of 470032200 is about 777.5157649571.

Adding to 470032200 its reverse (2230074), we get a palindrome (472262274).

The spelling of 470032200 in words is "four hundred seventy million, thirty-two thousand, two hundred".