74111400 has 288 divisors, whose sum is σ = 287258400. Its totient is φ = 16934400.

The previous prime is 74111393. The next prime is 74111413. The reversal of 74111400 is 411147.

74111400 = 75³ + 76³ + ... + 134³.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

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 71 ways as a sum of consecutive naturals, for example, 376102 + ... + 376298.

It is an arithmetic number, because the mean of its divisors is an integer number (997425).

Almost surely, 2^74111400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143629200).

74111400 is an abundant number, since it is smaller than the sum of its proper divisors (213147000).

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

74111400 is a wasteful number, since it uses less digits than its factorization.

74111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 74111400 is about 8608.7978254806. The cubic root of 74111400 is about 420.0442130326.

Adding to 74111400 its reverse (411147), we get a palindrome (74522547).

The spelling of 74111400 in words is "seventy-four million, one hundred eleven thousand, four hundred".