1009440 has 72 divisors (see below), whose sum is σ = 3449628. Its totient is φ = 268800.

The previous prime is 1009439. The next prime is 1009457. The reversal of 1009440 is 449001.

1009440 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 992016 + 17424 = 996^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1009440² = 2037938227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1090 + ... + 1790.

2^1009440 is an apocalyptic number.

1009440 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 1009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724814).

1009440 is an abundant number, since it is smaller than the sum of its proper divisors (2440188).

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

1009440 is a wasteful number, since it uses less digits than its factorization.

1009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1009440 is about 1004.7089130689. The cubic root of 1009440 is about 100.3136816759.

The spelling of 1009440 in words is "one million, nine thousand, four hundred forty".