1029853440 has 864 divisors, whose sum is σ = 4714085376. Its totient is φ = 209018880.

The previous prime is 1029853439. The next prime is 1029853463. The reversal of 1029853440 is 443589201.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1029853395 and 1029853404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23950059 + ... + 23950101.

Almost surely, 2^1029853440 is an apocalyptic number.

1029853440 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 1029853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357042688).

1029853440 is an abundant number, since it is smaller than the sum of its proper divisors (3684231936).

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

1029853440 is an equidigital number, since it uses as much as digits as its factorization.

1029853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1029853440 is about 32091.3296701773. The cubic root of 1029853440 is about 1009.8537317185.

The spelling of 1029853440 in words is "one billion, twenty-nine million, eight hundred fifty-three thousand, four hundred forty".