8354504400 has 480 divisors, whose sum is σ = 30688035840. Its totient is φ = 1924608000.

The previous prime is 8354504393. The next prime is 8354504407. The reversal of 8354504400 is 44054538.

It is an interprime number because it is at equal distance from previous prime (8354504393) and next prime (8354504407).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8354504407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23271421 + ... + 23271779.

It is an arithmetic number, because the mean of its divisors is an integer number (63933408).

Almost surely, 2^8354504400 is an apocalyptic number.

8354504400 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 8354504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344017920).

8354504400 is an abundant number, since it is smaller than the sum of its proper divisors (22333531440).

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

8354504400 is a wasteful number, since it uses less digits than its factorization.

8354504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 8354504400 is about 91402.9780696450. The cubic root of 8354504400 is about 2029.1161026903.

Adding to 8354504400 its reverse (44054538), we get a palindrome (8398558938).

The spelling of 8354504400 in words is "eight billion, three hundred fifty-four million, five hundred four thousand, four hundred".