1493768580 has 192 divisors, whose sum is σ = 4736890368. Its totient is φ = 349634560.

The previous prime is 1493768561. The next prime is 1493768599. The reversal of 1493768580 is 858673941.

It is an interprime number because it is at equal distance from previous prime (1493768561) and next prime (1493768599).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 961084 + ... + 962636.

It is an arithmetic number, because the mean of its divisors is an integer number (24671304).

Almost surely, 2^1493768580 is an apocalyptic number.

1493768580 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 1493768580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368445184).

1493768580 is an abundant number, since it is smaller than the sum of its proper divisors (3243121788).

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

1493768580 is a wasteful number, since it uses less digits than its factorization.

1493768580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 1493768580 is about 38649.3024516614. The cubic root of 1493768580 is about 1143.1268879202.

The spelling of 1493768580 in words is "one billion, four hundred ninety-three million, seven hundred sixty-eight thousand, five hundred eighty".