84408400 has 60 divisors (see below), whose sum is σ = 214737372. Its totient is φ = 31774720.

The previous prime is 84408377. The next prime is 84408407. The reversal of 84408400 is 480448.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 795664 + 83612736 = 892^2 + 9144^2 .

It is a super-3 number, since 3×84408400³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84408407) 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, 594 + ... + 13006.

Almost surely, 2^84408400 is an apocalyptic number.

84408400 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 84408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107368686).

84408400 is an abundant number, since it is smaller than the sum of its proper divisors (130328972).

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

84408400 is a wasteful number, since it uses less digits than its factorization.

84408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12448 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 84408400 is about 9187.4044212715. The cubic root of 84408400 is about 438.6605269889.

Adding to 84408400 its reverse (480448), we get a palindrome (84888848).

The spelling of 84408400 in words is "eighty-four million, four hundred eight thousand, four hundred".