470047200 has 288 divisors, whose sum is σ = 1787385600. Its totient is φ = 107251200.

The previous prime is 470047199. The next prime is 470047211. The reversal of 470047200 is 2740074.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 822915 + ... + 823485.

It is an arithmetic number, because the mean of its divisors is an integer number (6206200).

Almost surely, 2^470047200 is an apocalyptic number.

470047200 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 470047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893692800).

470047200 is an abundant number, since it is smaller than the sum of its proper divisors (1317338400).

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

470047200 is a wasteful number, since it uses less digits than its factorization.

470047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 470047200 is about 21680.5719481752. The cubic root of 470047200 is about 777.5240357468.

Adding to 470047200 its reverse (2740074), we get a palindrome (472787274).

The spelling of 470047200 in words is "four hundred seventy million, forty-seven thousand, two hundred".