894294400 has 96 divisors (see below), whose sum is σ = 2231866080. Its totient is φ = 354048000.

The previous prime is 894294397. The next prime is 894294409. The reversal of 894294400 is 4492498.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (894294409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321817 + ... + 324583.

It is an arithmetic number, because the mean of its divisors is an integer number (23248605).

Almost surely, 2^894294400 is an apocalyptic number.

894294400 is a gapful number since it is divisible by the number (80) 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 894294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115933040).

894294400 is an abundant number, since it is smaller than the sum of its proper divisors (1337571680).

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

894294400 is a wasteful number, since it uses less digits than its factorization.

894294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 894294400 is about 29904.7554746733. The cubic root of 894294400 is about 963.4448000497. Note that the first 3 decimals are identical.

The spelling of 894294400 in words is "eight hundred ninety-four million, two hundred ninety-four thousand, four hundred".