94478400 has 231 divisors, whose sum is σ = 348711901. Its totient is φ = 25194240.

The previous prime is 94478347. The next prime is 94478429. The reversal of 94478400 is 487449.

The square root of 94478400 is 9720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34012224 + 60466176 = 5832^2 + 7776^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 18895678 + ... + 18895682.

Almost surely, 2^94478400 is an apocalyptic number.

94478400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

94478400 is the 9720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94478400

94478400 is an abundant number, since it is smaller than the sum of its proper divisors (254233501).

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

94478400 is an frugal number, since it uses more digits than its factorization.

94478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 94478400 is about 455.4536392629.

Multiplying 94478400 by its sum of digits (36), we get a square (3401222400 = 58320²).

94478400 divided by its sum of digits (36) gives a square (2624400 = 1620²).

The spelling of 94478400 in words is "ninety-four million, four hundred seventy-eight thousand, four hundred".