94466400 has 144 divisors (see below), whose sum is σ = 351477504. Its totient is φ = 21588480.

The previous prime is 94466371. The next prime is 94466401. The reversal of 94466400 is 466449.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94466401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13989 + ... + 19611.

It is an arithmetic number, because the mean of its divisors is an integer number (2440816).

Almost surely, 2^94466400 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 94466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175738752).

94466400 is an abundant number, since it is smaller than the sum of its proper divisors (257011104).

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

94466400 is a wasteful number, since it uses less digits than its factorization.

94466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5653 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 94466400 is about 9719.3826964473. The cubic root of 94466400 is about 455.4343555781.

The spelling of 94466400 in words is "ninety-four million, four hundred sixty-six thousand, four hundred".