96404400 has 180 divisors, whose sum is σ = 340809040. Its totient is φ = 25228800.

The previous prime is 96404387. The next prime is 96404443. The reversal of 96404400 is 440469.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219381 + ... + 219819.

Almost surely, 2^96404400 is an apocalyptic number.

96404400 is a gapful number since it is divisible by the number (90) 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 96404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170404520).

96404400 is an abundant number, since it is smaller than the sum of its proper divisors (244404640).

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

96404400 is a wasteful number, since it uses less digits than its factorization.

96404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 96404400 is about 9818.5742345821. The cubic root of 96404400 is about 458.5277441552.

Adding to 96404400 its reverse (440469), we get a palindrome (96844869).

It can be divided in two parts, 96 and 404400, that added together give a square (404496 = 636²).

The spelling of 96404400 in words is "ninety-six million, four hundred four thousand, four hundred".