471434400 has 216 divisors, whose sum is σ = 1704008124. Its totient is φ = 122572800.

The previous prime is 471434389. The next prime is 471434401. The reversal of 471434400 is 4434174.

It can be written as a sum of positive squares in 6 ways, for example, as 18766224 + 452668176 = 4332^2 + 21276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471434401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294402 + ... + 295998.

Almost surely, 2^471434400 is an apocalyptic number.

471434400 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 471434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852004062).

471434400 is an abundant number, since it is smaller than the sum of its proper divisors (1232573724).

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

471434400 is a wasteful number, since it uses less digits than its factorization.

471434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 471434400 is about 21712.5401554033. The cubic root of 471434400 is about 778.2881590410.

Adding to 471434400 its reverse (4434174), we get a palindrome (475868574).

The spelling of 471434400 in words is "four hundred seventy-one million, four hundred thirty-four thousand, four hundred".