94424400 has 240 divisors, whose sum is σ = 384400000. Its totient is φ = 21565440.

The previous prime is 94424389. The next prime is 94424413. The reversal of 94424400 is 442449.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74976 + ... + 76224.

Almost surely, 2^94424400 is an apocalyptic number.

94424400 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 94424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192200000).

94424400 is an abundant number, since it is smaller than the sum of its proper divisors (289975600).

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

94424400 is a wasteful number, since it uses less digits than its factorization.

94424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 94424400 is about 9717.2218251926. The cubic root of 94424400 is about 455.3668498178.

Adding to 94424400 its reverse (442449), we get a palindrome (94866849).

The spelling of 94424400 in words is "ninety-four million, four hundred twenty-four thousand, four hundred".