1493145360 has 640 divisors, whose sum is σ = 6432445440. Its totient is φ = 310542336.

The previous prime is 1493145319. The next prime is 1493145383. The reversal of 1493145360 is 635413941.

1493145360 is a `hidden beast` number, since 149 + 3 + 1 + 453 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 9510402 + ... + 9510558.

It is an arithmetic number, because the mean of its divisors is an integer number (10050696).

Almost surely, 2^1493145360 is an apocalyptic number.

1493145360 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 1493145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216222720).

1493145360 is an abundant number, since it is smaller than the sum of its proper divisors (4939300080).

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

1493145360 is a wasteful number, since it uses less digits than its factorization.

1493145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1493145360 is about 38641.2391105668. The cubic root of 1493145360 is about 1142.9678899226.

The spelling of 1493145360 in words is "one billion, four hundred ninety-three million, one hundred forty-five thousand, three hundred sixty".