471342400 has 84 divisors (see below), whose sum is σ = 1172139388. Its totient is φ = 186531840.

The previous prime is 471342379. The next prime is 471342407. The reversal of 471342400 is 4243174.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 471063616 = 528^2 + 21704^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471342407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153682 + ... + 156718.

Almost surely, 2^471342400 is an apocalyptic number.

471342400 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 471342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586069694).

471342400 is an abundant number, since it is smaller than the sum of its proper divisors (700796988).

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

471342400 is a wasteful number, since it uses less digits than its factorization.

471342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 471342400 is about 21710.4214606718. The cubic root of 471342400 is about 778.2375283355.

Adding to 471342400 its reverse (4243174), we get a palindrome (475585574).

The spelling of 471342400 in words is "four hundred seventy-one million, three hundred forty-two thousand, four hundred".