1029440 has 28 divisors (see below), whose sum is σ = 2452116. Its totient is φ = 411648.

The previous prime is 1029433. The next prime is 1029467. The reversal of 1029440 is 449201.

1029440 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 2 ways, for example, as 678976 + 350464 = 824^2 + 592^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1289 + ... + 1928.

2^1029440 is an apocalyptic number.

1029440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029440 is an abundant number, since it is smaller than the sum of its proper divisors (1422676).

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

1029440 is an equidigital number, since it uses as much as digits as its factorization.

1029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1029440 is about 1014.6132268012. The cubic root of 1029440 is about 100.9718576626.

The spelling of 1029440 in words is "one million, twenty-nine thousand, four hundred forty".