471416200 has 48 divisors (see below), whose sum is σ = 1101335760. Its totient is φ = 187656000.

The previous prime is 471416189. The next prime is 471416219. The reversal of 471416200 is 2614174.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 36615 + ... + 47785.

It is an arithmetic number, because the mean of its divisors is an integer number (22944495).

Almost surely, 2^471416200 is an apocalyptic number.

471416200 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 471416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550667880).

471416200 is an abundant number, since it is smaller than the sum of its proper divisors (629919560).

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

471416200 is a wasteful number, since it uses less digits than its factorization.

471416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11398 (or 11389 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 471416200 is about 21712.1210387194. The cubic root of 471416200 is about 778.2781434893.

The spelling of 471416200 in words is "four hundred seventy-one million, four hundred sixteen thousand, two hundred".