95440800 has 576 divisors, whose sum is σ = 419973120. Its totient is φ = 18247680.

The previous prime is 95440789. The next prime is 95440801. The reversal of 95440800 is 804459.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95440801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4149589 + ... + 4149611.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^95440800 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 95440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

95440800 is an abundant number, since it is smaller than the sum of its proper divisors (324532320).

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

95440800 is a wasteful number, since it uses less digits than its factorization.

95440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 95440800 is about 9769.3807377950. The cubic root of 95440800 is about 456.9949037572.

The spelling of 95440800 in words is "ninety-five million, four hundred forty thousand, eight hundred".