470210400 has 288 divisors, whose sum is σ = 1856131200. Its totient is φ = 113932800.

The previous prime is 470210399. The next prime is 470210491. The reversal of 470210400 is 4012074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236611 + ... + 238589.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^470210400 is an apocalyptic number.

470210400 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 470210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928065600).

470210400 is an abundant number, since it is smaller than the sum of its proper divisors (1385920800).

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

470210400 is a wasteful number, since it uses less digits than its factorization.

470210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 470210400 is about 21684.3353598859. The cubic root of 470210400 is about 777.6140105691.

Adding to 470210400 its reverse (4012074), we get a palindrome (474222474).

The spelling of 470210400 in words is "four hundred seventy million, two hundred ten thousand, four hundred".