1493764040 has 64 divisors (see below), whose sum is σ = 3557736000. Its totient is φ = 562878720.

The previous prime is 1493764039. The next prime is 1493764061. The reversal of 1493764040 is 404673941.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1493763985 and 1493764003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132131 + ... + 142989.

It is an arithmetic number, because the mean of its divisors is an integer number (55589625).

Almost surely, 2^1493764040 is an apocalyptic number.

1493764040 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 1493764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778868000).

1493764040 is an abundant number, since it is smaller than the sum of its proper divisors (2063971960).

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

1493764040 is a wasteful number, since it uses less digits than its factorization.

1493764040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11070 (or 11066 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 1493764040 is about 38649.2437183446. The cubic root of 1493764040 is about 1143.1257298199.

The spelling of 1493764040 in words is "one billion, four hundred ninety-three million, seven hundred sixty-four thousand, forty".