1029253460 has 24 divisors (see below), whose sum is σ = 2162035176. Its totient is φ = 411586560.

The previous prime is 1029253453. The next prime is 1029253487. The reversal of 1029253460 is 643529201.

It is a happy number.

1029253460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82337476 + 946915984 = 9074^2 + 30772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135524 + ... + 142916.

It is an arithmetic number, because the mean of its divisors is an integer number (90084799).

Almost surely, 2^1029253460 is an apocalyptic number.

1029253460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029253460 is an abundant number, since it is smaller than the sum of its proper divisors (1132781716).

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

1029253460 is a wasteful number, since it uses less digits than its factorization.

1029253460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14363 (or 14361 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1029253460 is about 32081.9803004740. The cubic root of 1029253460 is about 1009.6575841509.

The spelling of 1029253460 in words is "one billion, twenty-nine million, two hundred fifty-three thousand, four hundred sixty".