8401400 has 96 divisors (see below), whose sum is σ = 23703840. Its totient is φ = 2703360.

The previous prime is 8401397. The next prime is 8401409. The reversal of 8401400 is 41048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8401409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23624 + ... + 23976.

It is an arithmetic number, because the mean of its divisors is an integer number (246915).

Almost surely, 2^8401400 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 8401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851920).

8401400 is an abundant number, since it is smaller than the sum of its proper divisors (15302440).

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

8401400 is a wasteful number, since it uses less digits than its factorization.

8401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 8401400 is about 2898.5168621210. The cubic root of 8401400 is about 203.2905640285.

Adding to 8401400 its reverse (41048), we get a palindrome (8442448).

The spelling of 8401400 in words is "eight million, four hundred one thousand, four hundred".