8400440480 has 24 divisors (see below), whose sum is σ = 19846041012. Its totient is φ = 3360176128.

The previous prime is 8400440467. The next prime is 8400440501. The reversal of 8400440480 is 840440048.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7795477264 + 604963216 = 88292^2 + 24596^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26251217 + ... + 26251536.

Almost surely, 2^8400440480 is an apocalyptic number.

8400440480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8400440480 is an abundant number, since it is smaller than the sum of its proper divisors (11445600532).

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

8400440480 is a wasteful number, since it uses less digits than its factorization.

8400440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52502768 (or 52502760 counting only the distinct ones).

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

The square root of 8400440480 is about 91653.9168830225. The cubic root of 8400440480 is about 2032.8282449346.

The spelling of 8400440480 in words is "eight billion, four hundred million, four hundred forty thousand, four hundred eighty".