1493056224 has 288 divisors, whose sum is σ = 4996712448. Its totient is φ = 418176000.

The previous prime is 1493056217. The next prime is 1493056241. The reversal of 1493056224 is 4226503941.

It is a happy number.

1493056224 is a `hidden beast` number, since 1 + 4 + 93 + 0 + 562 + 2 + 4 = 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 (36).

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, 2258454 + ... + 2259114.

It is an arithmetic number, because the mean of its divisors is an integer number (17349696).

Almost surely, 2^1493056224 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 1493056224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498356224).

1493056224 is an abundant number, since it is smaller than the sum of its proper divisors (3503656224).

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

1493056224 is a wasteful number, since it uses less digits than its factorization.

1493056224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1493056224 is about 38640.0857141906. The cubic root of 1493056224 is about 1142.9451456282.

The spelling of 1493056224 in words is "one billion, four hundred ninety-three million, fifty-six thousand, two hundred twenty-four".