8413401600 has 360 divisors, whose sum is σ = 30342998400. Its totient is φ = 2226216960.

The previous prime is 8413401599. The next prime is 8413401691. The reversal of 8413401600 is 61043148.

8413401600 is a `hidden beast` number, since 8 + 4 + 13 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22924617 + ... + 22924983.

Almost surely, 2^8413401600 is an apocalyptic number.

8413401600 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 8413401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171499200).

8413401600 is an abundant number, since it is smaller than the sum of its proper divisors (21929596800).

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

8413401600 is a wasteful number, since it uses less digits than its factorization.

8413401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8413401600 is about 91724.5964831680. The cubic root of 8413401600 is about 2033.8731977466.

Adding to 8413401600 its reverse (61043148), we get a palindrome (8474444748).

The spelling of 8413401600 in words is "eight billion, four hundred thirteen million, four hundred one thousand, six hundred".