471987200 has 132 divisors (see below), whose sum is σ = 1187915040. Its totient is φ = 185917440.

The previous prime is 471987199. The next prime is 471987223. The reversal of 471987200 is 2789174.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2636711 + ... + 2636889.

Almost surely, 2^471987200 is an apocalyptic number.

471987200 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 471987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593957520).

471987200 is an abundant number, since it is smaller than the sum of its proper divisors (715927840).

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

471987200 is a wasteful number, since it uses less digits than its factorization.

471987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 471987200 is about 21725.2663965255. The cubic root of 471987200 is about 778.5922449254.

It can be divided in two parts, 4719 and 87200, that added together give a palindrome (91919).

The spelling of 471987200 in words is "four hundred seventy-one million, nine hundred eighty-seven thousand, two hundred".