368411400 has 216 divisors, whose sum is σ = 1439592570. Its totient is φ = 84188160.

The previous prime is 368411383. The next prime is 368411413. The reversal of 368411400 is 4114863.

It can be written as a sum of positive squares in 3 ways, for example, as 339959844 + 28451556 = 18438^2 + 5334^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 86112 + ... + 90288.

Almost surely, 2^368411400 is an apocalyptic number.

368411400 is a gapful number since it is divisible by the number (30) 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 368411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719796285).

368411400 is an abundant number, since it is smaller than the sum of its proper divisors (1071181170).

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

368411400 is a wasteful number, since it uses less digits than its factorization.

368411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 368411400 is about 19194.0459518050. The cubic root of 368411400 is about 716.8765156764.

The spelling of 368411400 in words is "three hundred sixty-eight million, four hundred eleven thousand, four hundred".