96432400 has 45 divisors (see below), whose sum is σ = 232151653. Its totient is φ = 38494400.

The previous prime is 96432389. The next prime is 96432407. The reversal of 96432400 is 423469.

96432400 = T₃₆₅ + T₃₆₆ + ... + T₈₅₅.

The square root of 96432400 is 9820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34715664 + 61716736 = 5892^2 + 7856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96432407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 196155 + ... + 196645.

Almost surely, 2^96432400 is an apocalyptic number.

96432400 is the 9820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96432400

96432400 is an abundant number, since it is smaller than the sum of its proper divisors (135719253).

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

96432400 is an equidigital number, since it uses as much as digits as its factorization.

96432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The cubic root of 96432400 is about 458.5721319427.

Multiplying 96432400 by its product of nonzero digits (5184), we get a square (499905561600 = 707040²).

Adding to 96432400 its reverse (423469), we get a palindrome (96855869).

The spelling of 96432400 in words is "ninety-six million, four hundred thirty-two thousand, four hundred".