400105200 has 240 divisors, whose sum is σ = 1481262336. Its totient is φ = 91238400.

The previous prime is 400105193. The next prime is 400105229. The reversal of 400105200 is 2501004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 223509 + ... + 225291.

Almost surely, 2^400105200 is an apocalyptic number.

400105200 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 400105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740631168).

400105200 is an abundant number, since it is smaller than the sum of its proper divisors (1081157136).

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

400105200 is a wasteful number, since it uses less digits than its factorization.

400105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 400105200 is about 20002.6298271002. The cubic root of 400105200 is about 736.8708874185.

Adding to 400105200 its reverse (2501004), we get a palindrome (402606204).

The spelling of 400105200 in words is "four hundred million, one hundred five thousand, two hundred".