8400480 has 192 divisors, whose sum is σ = 30336768. Its totient is φ = 1935360.

The previous prime is 8400461. The next prime is 8400481. The reversal of 8400480 is 840048.

8400480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 a self number, because there is not a number n which added to its sum of digits gives 8400480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195339 + ... + 195381.

It is an arithmetic number, because the mean of its divisors is an integer number (158004).

Almost surely, 2^8400480 is an apocalyptic number.

8400480 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 8400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168384).

8400480 is an abundant number, since it is smaller than the sum of its proper divisors (21936288).

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

8400480 is a wasteful number, since it uses less digits than its factorization.

8400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

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

The square root of 8400480 is about 2898.3581559221. The cubic root of 8400480 is about 203.2831432753.

The spelling of 8400480 in words is "eight million, four hundred thousand, four hundred eighty".