94400800 has 144 divisors (see below), whose sum is σ = 257561640. Its totient is φ = 33546240.

The previous prime is 94400743. The next prime is 94400807. The reversal of 94400800 is 800449.

It can be written as a sum of positive squares in 12 ways, for example, as 7463824 + 86936976 = 2732^2 + 9324^2 .

It is a super-2 number, since 2×94400800² = 17823022081280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (94400807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301444 + ... + 301756.

Almost surely, 2^94400800 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 94400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128780820).

94400800 is an abundant number, since it is smaller than the sum of its proper divisors (163160840).

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

94400800 is a wasteful number, since it uses less digits than its factorization.

94400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 94400800 is about 9716.0074104542. The cubic root of 94400800 is about 455.3289092251.

The spelling of 94400800 in words is "ninety-four million, four hundred thousand, eight hundred".