8408000400 has 60 divisors (see below), whose sum is σ = 26933631792. Its totient is φ = 2242133120.

The previous prime is 8408000357. The next prime is 8408000407. The reversal of 8408000400 is 40008048.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (8408000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3502134 + ... + 3504533.

Almost surely, 2^8408000400 is an apocalyptic number.

8408000400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8408000400 is an abundant number, since it is smaller than the sum of its proper divisors (18525631392).

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

8408000400 is a wasteful number, since it uses less digits than its factorization.

8408000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006688 (or 7006677 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8408000400 is about 91695.1492719217. The cubic root of 8408000400 is about 2033.4378721373.

Adding to 8408000400 its reverse (40008048), we get a palindrome (8448008448).

The spelling of 8408000400 in words is "eight billion, four hundred eight million, four hundred", and thus it is an aban number.