470514200 has 192 divisors, whose sum is σ = 1244816160. Its totient is φ = 164229120.

The previous prime is 470514193. The next prime is 470514211. The reversal of 470514200 is 2415074.

It is a super-2 number, since 2×470514200² = 442767224803280000, which contains 22 as substring.

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, 6445364 + ... + 6445436.

Almost surely, 2^470514200 is an apocalyptic number.

470514200 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 470514200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622408080).

470514200 is an abundant number, since it is smaller than the sum of its proper divisors (774301960).

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

470514200 is a wasteful number, since it uses less digits than its factorization.

470514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 470514200 is about 21691.3392855305. The cubic root of 470514200 is about 777.7814450318.

Adding to 470514200 its reverse (2415074), we get a palindrome (472929274).

The spelling of 470514200 in words is "four hundred seventy million, five hundred fourteen thousand, two hundred".