1374400224 has 288 divisors, whose sum is σ = 4423307616. Its totient is φ = 418037760.

The previous prime is 1374400193. The next prime is 1374400229. The reversal of 1374400224 is 4220044731.

1374400224 is a `hidden beast` number, since 1 + 37 + 4 + 400 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374400229) by changing a digit.

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, 4890964 + ... + 4891244.

It is an arithmetic number, because the mean of its divisors is an integer number (15358707).

Almost surely, 2^1374400224 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 1374400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211653808).

1374400224 is an abundant number, since it is smaller than the sum of its proper divisors (3048907392).

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

1374400224 is a wasteful number, since it uses less digits than its factorization.

1374400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1374400224 is about 37072.9041754217. The cubic root of 1374400224 is about 1111.8283381480.

Adding to 1374400224 its reverse (4220044731), we get a palindrome (5594444955).

The spelling of 1374400224 in words is "one billion, three hundred seventy-four million, four hundred thousand, two hundred twenty-four".