96410400 has 216 divisors, whose sum is σ = 335759760. Its totient is φ = 24023040.

The previous prime is 96410381. The next prime is 96410423. The reversal of 96410400 is 401469.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 693531 + ... + 693669.

Almost surely, 2^96410400 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 96410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167879880).

96410400 is an abundant number, since it is smaller than the sum of its proper divisors (239349360).

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

96410400 is a wasteful number, since it uses less digits than its factorization.

96410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 96410400 is about 9818.8797731717. The cubic root of 96410400 is about 458.5372565474.

Adding to 96410400 its reverse (401469), we get a palindrome (96811869).

The spelling of 96410400 in words is "ninety-six million, four hundred ten thousand, four hundred".