8402400 has 144 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 2234880.

The previous prime is 8402399. The next prime is 8402413. The reversal of 8402400 is 42048.

It is a happy number.

8402400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21406 + ... + 21794.

It is an arithmetic number, because the mean of its divisors is an integer number (211575).

Almost surely, 2^8402400 is an apocalyptic number.

8402400 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 8402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

8402400 is an abundant number, since it is smaller than the sum of its proper divisors (22064400).

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

8402400 is a wasteful number, since it uses less digits than its factorization.

8402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8402400 is about 2898.6893590035. The cubic root of 8402400 is about 203.2986294501.

Adding to 8402400 its reverse (42048), we get a palindrome (8444448).

It can be divided in two parts, 840 and 2400, that added together give a triangular number (3240 = T₈₀).

The spelling of 8402400 in words is "eight million, four hundred two thousand, four hundred".