1029137480 has 128 divisors (see below), whose sum is σ = 2701416960. Its totient is φ = 345600000.

The previous prime is 1029137419. The next prime is 1029137509. The reversal of 1029137480 is 847319201.

1029137480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1029137480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4270160 + ... + 4270400.

It is an arithmetic number, because the mean of its divisors is an integer number (21104820).

Almost surely, 2^1029137480 is an apocalyptic number.

1029137480 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 1029137480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350708480).

1029137480 is an abundant number, since it is smaller than the sum of its proper divisors (1672279480).

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

1029137480 is a wasteful number, since it uses less digits than its factorization.

1029137480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1029137480 is about 32080.1726928020. The cubic root of 1029137480 is about 1009.6196587710.

The spelling of 1029137480 in words is "one billion, twenty-nine million, one hundred thirty-seven thousand, four hundred eighty".