8404310400 has 384 divisors, whose sum is σ = 30598041600. Its totient is φ = 2016706560.

The previous prime is 8404310389. The next prime is 8404310437. The reversal of 8404310400 is 40134048.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3752481 + ... + 3754719.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 2^8404310400 is an apocalyptic number.

8404310400 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 8404310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299020800).

8404310400 is an abundant number, since it is smaller than the sum of its proper divisors (22193731200).

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

8404310400 is a wasteful number, since it uses less digits than its factorization.

8404310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8404310400 is about 91675.0260430833. The cubic root of 8404310400 is about 2033.1403585263.

Adding to 8404310400 its reverse (40134048), we get a palindrome (8444444448).

The spelling of 8404310400 in words is "eight billion, four hundred four million, three hundred ten thousand, four hundred".