1029314430 has 48 divisors (see below), whose sum is σ = 2741500944. Its totient is φ = 267788160.

The previous prime is 1029314411. The next prime is 1029314441. The reversal of 1029314430 is 344139201.

It is a junction number, because it is equal to n+sod(n) for n = 1029314394 and 1029314403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135784 + ... + 143163.

It is an arithmetic number, because the mean of its divisors is an integer number (57114603).

Almost surely, 2^1029314430 is an apocalyptic number.

1029314430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1029314430 is an abundant number, since it is smaller than the sum of its proper divisors (1712186514).

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

1029314430 is a wasteful number, since it uses less digits than its factorization.

1029314430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279001 (or 278998 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1029314430 is about 32082.9305082937. The cubic root of 1029314430 is about 1009.6775201562.

The spelling of 1029314430 in words is "one billion, twenty-nine million, three hundred fourteen thousand, four hundred thirty".