1493738624 has 64 divisors (see below), whose sum is σ = 3406718400. Its totient is φ = 639083520.

The previous prime is 1493738621. The next prime is 1493738647. The reversal of 1493738624 is 4268373941.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1493738621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741779 + ... + 743789.

It is an arithmetic number, because the mean of its divisors is an integer number (53229975).

Almost surely, 2^1493738624 is an apocalyptic number.

1493738624 is a gapful number since it is divisible by the number (14) 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 1493738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703359200).

1493738624 is an abundant number, since it is smaller than the sum of its proper divisors (1912979776).

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

1493738624 is an equidigital number, since it uses as much as digits as its factorization.

1493738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2849 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 1493738624 is about 38648.9149136169. The cubic root of 1493738624 is about 1143.1192464558.

The spelling of 1493738624 in words is "one billion, four hundred ninety-three million, seven hundred thirty-eight thousand, six hundred twenty-four".