1029400848 has 240 divisors, whose sum is σ = 3528345600. Its totient is φ = 273611520.

The previous prime is 1029400843. The next prime is 1029400871. The reversal of 1029400848 is 8480049201.

1029400848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1029400848² = 2119332211726238208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1029400843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129513 + ... + 1130423.

It is an arithmetic number, because the mean of its divisors is an integer number (14701440).

Almost surely, 2^1029400848 is an apocalyptic number.

1029400848 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 1029400848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764172800).

1029400848 is an abundant number, since it is smaller than the sum of its proper divisors (2498944752).

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

1029400848 is a wasteful number, since it uses less digits than its factorization.

1029400848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1029400848 is about 32084.2772709625. The cubic root of 1029400848 is about 1009.7057758144.

The spelling of 1029400848 in words is "one billion, twenty-nine million, four hundred thousand, eight hundred forty-eight".