400480200 has 240 divisors, whose sum is σ = 1417878000. Its totient is φ = 104734080.

The previous prime is 400480187. The next prime is 400480207. The reversal of 400480200 is 2084004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (400480207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 955591 + ... + 956009.

It is an arithmetic number, because the mean of its divisors is an integer number (5907825).

Almost surely, 2^400480200 is an apocalyptic number.

400480200 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 400480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708939000).

400480200 is an abundant number, since it is smaller than the sum of its proper divisors (1017397800).

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

400480200 is a wasteful number, since it uses less digits than its factorization.

400480200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 400480200 is about 20012.0013991605. The cubic root of 400480200 is about 737.1010271404.

The spelling of 400480200 in words is "four hundred million, four hundred eighty thousand, two hundred".