470215200 has 288 divisors, whose sum is σ = 1884629376. Its totient is φ = 99164160.

The previous prime is 470215171. The next prime is 470215201. The reversal of 470215200 is 2512074.

It is a super-2 number, since 2×470215200² = 442204668622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (470215201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 217324 + ... + 219476.

It is an arithmetic number, because the mean of its divisors is an integer number (6543852).

Almost surely, 2^470215200 is an apocalyptic number.

470215200 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 470215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942314688).

470215200 is an abundant number, since it is smaller than the sum of its proper divisors (1414414176).

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

470215200 is a wasteful number, since it uses less digits than its factorization.

470215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 470215200 is about 21684.4460385780. The cubic root of 470215200 is about 777.6166565722.

Adding to 470215200 its reverse (2512074), we get a palindrome (472727274).

The spelling of 470215200 in words is "four hundred seventy million, two hundred fifteen thousand, two hundred".