1035729468 has 72 divisors (see below), whose sum is σ = 2820120576. Its totient is φ = 319572000.

The previous prime is 1035729467. The next prime is 1035729473. The reversal of 1035729468 is 8649275301.

1035729468 is a `hidden beast` number, since 1 + 0 + 357 + 294 + 6 + 8 = 666.

1035729468 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1035729468³ (a number of 28 digits) contains 333 as substring.

1035729468 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035729467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5493 + ... + 45843.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1035729468 = 2071458936, but 3⋅1035729468 = 3107188404 is not.

Almost surely, 2^1035729468 is an apocalyptic number.

1035729468 is a gapful number since it is divisible by the number (18) 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 1035729468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410060288).

1035729468 is an abundant number, since it is smaller than the sum of its proper divisors (1784391108).

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

1035729468 is a wasteful number, since it uses less digits than its factorization.

1035729468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40415 (or 40410 counting only the distinct ones).

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

The square root of 1035729468 is about 32182.7510943362. The cubic root of 1035729468 is about 1011.7707289939.

The spelling of 1035729468 in words is "one billion, thirty-five million, seven hundred twenty-nine thousand, four hundred sixty-eight".