471206400 has 240 divisors, whose sum is σ = 1779987264. Its totient is φ = 107642880.

The previous prime is 471206389. The next prime is 471206401. The reversal of 471206400 is 4602174.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (471206401) 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, 267924 + ... + 269676.

Almost surely, 2^471206400 is an apocalyptic number.

471206400 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 471206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889993632).

471206400 is an abundant number, since it is smaller than the sum of its proper divisors (1308780864).

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

471206400 is a wasteful number, since it uses less digits than its factorization.

471206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 471206400 is about 21707.2890983651. The cubic root of 471206400 is about 778.1626708751.

Adding to 471206400 its reverse (4602174), we get a palindrome (475808574).

The spelling of 471206400 in words is "four hundred seventy-one million, two hundred six thousand, four hundred".