894407040 has 192 divisors, whose sum is σ = 3188764800. Its totient is φ = 230768640.

The previous prime is 894406999. The next prime is 894407047. The reversal of 894407040 is 40704498.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 894406986 and 894407004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (894407047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176056 + ... + 181064.

It is an arithmetic number, because the mean of its divisors is an integer number (16608150).

Almost surely, 2^894407040 is an apocalyptic number.

894407040 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 894407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594382400).

894407040 is an abundant number, since it is smaller than the sum of its proper divisors (2294357760).

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

894407040 is a wasteful number, since it uses less digits than its factorization.

894407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5050 counting only the distinct ones).

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

The square root of 894407040 is about 29906.6387278811. The cubic root of 894407040 is about 963.4852482758.

The spelling of 894407040 in words is "eight hundred ninety-four million, four hundred seven thousand, forty".