1009297440 has 144 divisors (see below), whose sum is σ = 3563141400. Its totient is φ = 259854336.

The previous prime is 1009297417. The next prime is 1009297441. The reversal of 1009297440 is 447929001.

It can be written as a sum of positive squares in 4 ways, for example, as 990738576 + 18558864 = 31476^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1009297395 and 1009297404.

It is not an unprimeable number, because it can be changed into a prime (1009297441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29676 + ... + 53844.

Almost surely, 2^1009297440 is an apocalyptic number.

1009297440 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 1009297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781570700).

1009297440 is an abundant number, since it is smaller than the sum of its proper divisors (2553843960).

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

1009297440 is a wasteful number, since it uses less digits than its factorization.

1009297440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24219 (or 24208 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1009297440 is about 31769.4419214439. The cubic root of 1009297440 is about 1003.0895912619.

The spelling of 1009297440 in words is "one billion, nine million, two hundred ninety-seven thousand, four hundred forty".