1715400640 has 112 divisors (see below), whose sum is σ = 4431145824. Its totient is φ = 629964800.

The previous prime is 1715400629. The next prime is 1715400641. The reversal of 1715400640 is 460045171.

It is a junction number, because it is equal to n+sod(n) for n = 1715400599 and 1715400608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1715400641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219195 + ... + 226885.

It is an arithmetic number, because the mean of its divisors is an integer number (39563802).

Almost surely, 2^1715400640 is an apocalyptic number.

1715400640 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 1715400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215572912).

1715400640 is an abundant number, since it is smaller than the sum of its proper divisors (2715745184).

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

1715400640 is a wasteful number, since it uses less digits than its factorization.

1715400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1715400640 is about 41417.3953792365. The cubic root of 1715400640 is about 1197.0763642278.

The spelling of 1715400640 in words is "one billion, seven hundred fifteen million, four hundred thousand, six hundred forty".