1029380400 has 150 divisors (see below), whose sum is σ = 3694479932. Its totient is φ = 274492800.

The previous prime is 1029380381. The next prime is 1029380411. The reversal of 1029380400 is 40839201.

1029380400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16515 + ... + 48285.

Almost surely, 2^1029380400 is an apocalyptic number.

1029380400 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 1029380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847239966).

1029380400 is an abundant number, since it is smaller than the sum of its proper divisors (2665099532).

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

1029380400 is a wasteful number, since it uses less digits than its factorization.

1029380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31801 (or 31781 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1029380400 is about 32083.9586086256. The cubic root of 1029380400 is about 1009.6990901777.

The spelling of 1029380400 in words is "one billion, twenty-nine million, three hundred eighty thousand, four hundred".