9401000 has 128 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 2995200.

The previous prime is 9400999. The next prime is 9401009. The reversal of 9401000 is 1049.

9401000 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

9401000 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (9401009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118961 + ... + 119039.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

Almost surely, 2^9401000 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 9401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).

9401000 is an abundant number, since it is smaller than the sum of its proper divisors (17555800).

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

9401000 is a wasteful number, since it uses less digits than its factorization.

9401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 9401000 is about 3066.1050210324. The cubic root of 9401000 is about 211.0529130641.

Adding to 9401000 its reverse (1049), we get a palindrome (9402049).

The spelling of 9401000 in words is "nine million, four hundred one thousand".