96445440 has 528 divisors, whose sum is σ = 429182208. Its totient is φ = 19464192.

The previous prime is 96445439. The next prime is 96445441. The reversal of 96445440 is 4454469.

96445440 is a `hidden beast` number, since 9 + 644 + 5 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96445439) and next prime (96445441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 96445395 and 96445404.

It is not an unprimeable number, because it can be changed into a prime (96445441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4193269 + ... + 4193291.

Almost surely, 2^96445440 is an apocalyptic number.

96445440 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 96445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214591104).

96445440 is an abundant number, since it is smaller than the sum of its proper divisors (332736768).

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

96445440 is a wasteful number, since it uses less digits than its factorization.

96445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 96445440 is about 9820.6639286761. The cubic root of 96445440 is about 458.5928010369.

The spelling of 96445440 in words is "ninety-six million, four hundred forty-five thousand, four hundred forty".