400484800 has 84 divisors (see below), whose sum is σ = 1008533416. Its totient is φ = 156441600.

The previous prime is 400484771. The next prime is 400484813. The reversal of 400484800 is 8484004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 65890 + ... + 71710.

Almost surely, 2^400484800 is an apocalyptic number.

400484800 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 400484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504266708).

400484800 is an abundant number, since it is smaller than the sum of its proper divisors (608048616).

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

400484800 is a wasteful number, since it uses less digits than its factorization.

400484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 400484800 is about 20012.1163298638. The cubic root of 400484800 is about 737.1038492955.

It can be divided in two parts, 4004 and 84800, that added together give a square (88804 = 298²).

The spelling of 400484800 in words is "four hundred million, four hundred eighty-four thousand, eight hundred".