94338400 has 144 divisors (see below), whose sum is σ = 254608704. Its totient is φ = 33914880.

The previous prime is 94338397. The next prime is 94338407. The reversal of 94338400 is 483349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94338407) 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, 488704 + ... + 488896.

It is an arithmetic number, because the mean of its divisors is an integer number (1768116).

Almost surely, 2^94338400 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 94338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127304352).

94338400 is an abundant number, since it is smaller than the sum of its proper divisors (160270304).

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

94338400 is a wasteful number, since it uses less digits than its factorization.

94338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 94338400 is about 9712.7956840448. The cubic root of 94338400 is about 455.2285612529.

It can be divided in two parts, 94 and 338400, that multiplied together give a square (31809600 = 5640²).

The spelling of 94338400 in words is "ninety-four million, three hundred thirty-eight thousand, four hundred".