400248559200 has 288 divisors, whose sum is σ = 1492876949760. Its totient is φ = 91242547200.

The previous prime is 400248559163. The next prime is 400248559201. The reversal of 400248559200 is 2955842004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400248559201) 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 47 ways as a sum of consecutive naturals, for example, 6335770 + ... + 6398630.

It is an arithmetic number, because the mean of its divisors is an integer number (5183600520).

Almost surely, 2^400248559200 is an apocalyptic number.

400248559200 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 400248559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746438474880).

400248559200 is an abundant number, since it is smaller than the sum of its proper divisors (1092628390560).

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

400248559200 is a wasteful number, since it uses less digits than its factorization.

400248559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63270 (or 63257 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 400248559200 in words is "four hundred billion, two hundred forty-eight million, five hundred fifty-nine thousand, two hundred".