1493252640 has 288 divisors, whose sum is σ = 5740180992. Its totient is φ = 350208000.

The previous prime is 1493252639. The next prime is 1493252669. The reversal of 1493252640 is 462523941.

It is a happy number.

1493252640 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 2 + 5 + 2 + 640 = 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 junction number, because it is equal to n+sod(n) for n = 1493252595 and 1493252604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489520 + ... + 492560.

It is an arithmetic number, because the mean of its divisors is an integer number (19931184).

Almost surely, 2^1493252640 is an apocalyptic number.

1493252640 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 1493252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870090496).

1493252640 is an abundant number, since it is smaller than the sum of its proper divisors (4246928352).

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

1493252640 is a wasteful number, since it uses less digits than its factorization.

1493252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3093 counting only the distinct ones).

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

The square root of 1493252640 is about 38642.6272398759. The cubic root of 1493252640 is about 1142.9952627116.

The spelling of 1493252640 in words is "one billion, four hundred ninety-three million, two hundred fifty-two thousand, six hundred forty".