471244800 has 336 divisors, whose sum is σ = 1706453280. Its totient is φ = 114032640.

The previous prime is 471244793. The next prime is 471244831. The reversal of 471244800 is 8442174.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7987171 + ... + 7987229.

It is an arithmetic number, because the mean of its divisors is an integer number (5078730).

Almost surely, 2^471244800 is an apocalyptic number.

471244800 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 471244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853226640).

471244800 is an abundant number, since it is smaller than the sum of its proper divisors (1235208480).

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

471244800 is a wasteful number, since it uses less digits than its factorization.

471244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 471244800 is about 21708.1735758677. The cubic root of 471244800 is about 778.1838085583.

Adding to 471244800 its reverse (8442174), we get a palindrome (479686974).

The spelling of 471244800 in words is "four hundred seventy-one million, two hundred forty-four thousand, eight hundred".