400342200 has 96 divisors (see below), whose sum is σ = 1256169600. Its totient is φ = 105458560.

The previous prime is 400342177. The next prime is 400342213. The reversal of 400342200 is 2243004.

It is a happy number.

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 400342200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45781 + ... + 53819.

It is an arithmetic number, because the mean of its divisors is an integer number (13085100).

Almost surely, 2^400342200 is an apocalyptic number.

400342200 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 400342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628084800).

400342200 is an abundant number, since it is smaller than the sum of its proper divisors (855827400).

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

400342200 is a wasteful number, since it uses less digits than its factorization.

400342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8141 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 400342200 is about 20008.5531710816. The cubic root of 400342200 is about 737.0163524359.

Adding to 400342200 its reverse (2243004), we get a palindrome (402585204).

The spelling of 400342200 in words is "four hundred million, three hundred forty-two thousand, two hundred".