1729449540 has 288 divisors, whose sum is σ = 6797656320. Its totient is φ = 345627648.

The previous prime is 1729449529. The next prime is 1729449581. The reversal of 1729449540 is 459449271.

1729449540 is a `hidden beast` number, since 1 + 72 + 94 + 495 + 4 + 0 = 666.

It is a super-2 number, since 2×1729449540² = 5981991422812423200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308442 + ... + 313998.

Almost surely, 2^1729449540 is an apocalyptic number.

1729449540 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 1729449540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398828160).

1729449540 is an abundant number, since it is smaller than the sum of its proper divisors (5068206780).

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

1729449540 is a wasteful number, since it uses less digits than its factorization.

1729449540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1729449540 is about 41586.6509832182. The cubic root of 1729449540 is about 1200.3354478869.

The spelling of 1729449540 in words is "one billion, seven hundred twenty-nine million, four hundred forty-nine thousand, five hundred forty".