94046400 has 336 divisors, whose sum is σ = 393070080. Its totient is φ = 21427200.

The previous prime is 94046377. The next prime is 94046401. The reversal of 94046400 is 464049.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94046401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302245 + ... + 302555.

Almost surely, 2^94046400 is an apocalyptic number.

94046400 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 94046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196535040).

94046400 is an abundant number, since it is smaller than the sum of its proper divisors (299023680).

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

94046400 is a wasteful number, since it uses less digits than its factorization.

94046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 94046400 is about 9697.7523169031. The cubic root of 94046400 is about 454.7583952585.

The spelling of 94046400 in words is "ninety-four million, forty-six thousand, four hundred".