1742749000 has 64 divisors (see below), whose sum is σ = 4088962800. Its totient is φ = 695232000.

The previous prime is 1742748977. The next prime is 1742749003. The reversal of 1742749000 is 9472471.

It can be written as a sum of positive squares in 8 ways, for example, as 765186244 + 977562756 = 27662^2 + 31266^2 .

It is not an unprimeable number, because it can be changed into a prime (1742749003) 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, 406870 + ... + 411130.

Almost surely, 2^1742749000 is an apocalyptic number.

1742749000 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 1742749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044481400).

1742749000 is an abundant number, since it is smaller than the sum of its proper divisors (2346213800).

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

1742749000 is a wasteful number, since it uses less digits than its factorization.

1742749000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 1742749000 is about 41746.2453401501. The cubic root of 1742749000 is about 1203.4044526549.

The spelling of 1742749000 in words is "one billion, seven hundred forty-two million, seven hundred forty-nine thousand".