400144200 has 96 divisors (see below), whose sum is σ = 1245857760. Its totient is φ = 106240000.

The previous prime is 400144189. The next prime is 400144219. The reversal of 400144200 is 2441004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 400144200.

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 23 ways as a sum of consecutive naturals, for example, 149272 + ... + 151928.

It is an arithmetic number, because the mean of its divisors is an integer number (12977685).

Almost surely, 2^400144200 is an apocalyptic number.

400144200 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 400144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622928880).

400144200 is an abundant number, since it is smaller than the sum of its proper divisors (845713560).

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

400144200 is a wasteful number, since it uses less digits than its factorization.

400144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 400144200 is about 20003.6046751579. The cubic root of 400144200 is about 736.8948286477.

Adding to 400144200 its reverse (2441004), we get a palindrome (402585204).

The spelling of 400144200 in words is "four hundred million, one hundred forty-four thousand, two hundred".