8484084400 has 90 divisors (see below), whose sum is σ = 22404596396. Its totient is φ = 3085104000.

The previous prime is 8484084397. The next prime is 8484084403. The reversal of 8484084400 is 44804848.

It is an interprime number because it is at equal distance from previous prime (8484084397) and next prime (8484084403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8484084403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39246 + ... + 136045.

Almost surely, 2^8484084400 is an apocalyptic number.

8484084400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8484084400 is an abundant number, since it is smaller than the sum of its proper divisors (13920511996).

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

8484084400 is a wasteful number, since it uses less digits than its factorization.

8484084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175331 (or 175309 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 8484084400 is about 92109.0896708897. The cubic root of 8484084400 is about 2039.5529906131.

The spelling of 8484084400 in words is "eight billion, four hundred eighty-four million, eighty-four thousand, four hundred".