470131200 has 720 divisors, whose sum is σ = 2137202496. Its totient is φ = 95846400.

The previous prime is 470131199. The next prime is 470131217. The reversal of 470131200 is 2131074.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8870374 + ... + 8870426.

Almost surely, 2^470131200 is an apocalyptic number.

470131200 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 470131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068601248).

470131200 is an abundant number, since it is smaller than the sum of its proper divisors (1667071296).

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

470131200 is a wasteful number, since it uses less digits than its factorization.

470131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 470131200 is about 21682.5090799012. The cubic root of 470131200 is about 777.5703489176.

Adding to 470131200 its reverse (2131074), we get a palindrome (472262274).

The spelling of 470131200 in words is "four hundred seventy million, one hundred thirty-one thousand, two hundred".