84400480400 has 30 divisors (see below), whose sum is σ = 202772155122. Its totient is φ = 33760192000.

The previous prime is 84400480391. The next prime is 84400480427. The reversal of 84400480400 is 408400448.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14338625536 + 70061854864 = 119744^2 + 264692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105500201 + ... + 105501000.

Almost surely, 2^84400480400 is an apocalyptic number.

84400480400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84400480400 is an abundant number, since it is smaller than the sum of its proper divisors (118371674722).

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

84400480400 is a wasteful number, since it uses less digits than its factorization.

84400480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211001219 (or 211001208 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 84400480400 its reverse (408400448), we get a palindrome (84808880848).

The spelling of 84400480400 in words is "eighty-four billion, four hundred million, four hundred eighty thousand, four hundred".