400280480 has 48 divisors (see below), whose sum is σ = 951194664. Its totient is φ = 159175680.

The previous prime is 400280459. The next prime is 400280483. The reversal of 400280480 is 84082004.

It can be written as a sum of positive squares in 4 ways, for example, as 306810256 + 93470224 = 17516^2 + 9668^2 .

It is not an unprimeable number, because it can be changed into a prime (400280483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20450 + ... + 34910.

Almost surely, 2^400280480 is an apocalyptic number.

400280480 is a gapful number since it is divisible by the number (40) 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 400280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475597332).

400280480 is an abundant number, since it is smaller than the sum of its proper divisors (550914184).

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

400280480 is a wasteful number, since it uses less digits than its factorization.

400280480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14649 (or 14641 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 400280480 is about 20007.0107712272. The cubic root of 400280480 is about 736.9784756835.

The spelling of 400280480 in words is "four hundred million, two hundred eighty thousand, four hundred eighty".