8401300 has 36 divisors (see below), whose sum is σ = 18865980. Its totient is φ = 3243520.

The previous prime is 8401291. The next prime is 8401301. The reversal of 8401300 is 31048.

It can be written as a sum of positive squares in 6 ways, for example, as 992016 + 7409284 = 996^2 + 2722^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8401301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1452 + ... + 4348.

It is an arithmetic number, because the mean of its divisors is an integer number (524055).

Almost surely, 2^8401300 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 8401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432990).

8401300 is an abundant number, since it is smaller than the sum of its proper divisors (10464680).

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

8401300 is a wasteful number, since it uses less digits than its factorization.

8401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 8401300 is about 2898.4996118682. The cubic root of 8401300 is about 203.2897574511.

Adding to 8401300 its reverse (31048), we get a palindrome (8432348).

The spelling of 8401300 in words is "eight million, four hundred one thousand, three hundred".