471640400 has 120 divisors (see below), whose sum is σ = 1412808384. Its totient is φ = 146995200.

The previous prime is 471640387. The next prime is 471640409. The reversal of 471640400 is 4046174.

It is a self number, because there is not a number n which added to its sum of digits gives 471640400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471640409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23144 + ... + 38456.

Almost surely, 2^471640400 is an apocalyptic number.

471640400 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 471640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706404192).

471640400 is an abundant number, since it is smaller than the sum of its proper divisors (941167984).

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

471640400 is a wasteful number, since it uses less digits than its factorization.

471640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15349 (or 15338 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 471640400 is about 21717.2834396938. The cubic root of 471640400 is about 778.4015039122.

Adding to 471640400 its reverse (4046174), we get a palindrome (475686574).

The spelling of 471640400 in words is "four hundred seventy-one million, six hundred forty thousand, four hundred".