1493755200 has 756 divisors, whose sum is σ = 6476443740. Its totient is φ = 325140480.

The previous prime is 1493755187. The next prime is 1493755259. The reversal of 1493755200 is 25573941.

1493755200 is a `hidden beast` number, since 14 + 93 + 7 + 552 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13660416 + 1480094784 = 3696^2 + 38472^2 .

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 (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20462364 + ... + 20462436.

Almost surely, 2^1493755200 is an apocalyptic number.

1493755200 is a gapful number since it is divisible by the number (10) 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 1493755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238221870).

1493755200 is an abundant number, since it is smaller than the sum of its proper divisors (4982688540).

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

1493755200 is a wasteful number, since it uses less digits than its factorization.

1493755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1493755200 is about 38649.1293562999. The cubic root of 1493755200 is about 1143.1234748338.

The spelling of 1493755200 in words is "one billion, four hundred ninety-three million, seven hundred fifty-five thousand, two hundred".