71430400 has 54 divisors (see below), whose sum is σ = 176817242. Its totient is φ = 28569600.

The previous prime is 71430347. The next prime is 71430407. The reversal of 71430400 is 403417.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 71098624 = 576^2 + 8432^2 .

It is not an unprimeable number, because it can be changed into a prime (71430407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 820 + ... + 11980.

Almost surely, 2^71430400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88408621).

71430400 is an abundant number, since it is smaller than the sum of its proper divisors (105386842).

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

71430400 is a wasteful number, since it uses less digits than its factorization.

71430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11187 (or 11168 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 71430400 is about 8451.6507263374. The cubic root of 71430400 is about 414.9168072461.

Adding to 71430400 its reverse (403417), we get a palindrome (71833817).

The spelling of 71430400 in words is "seventy-one million, four hundred thirty thousand, four hundred".