1009480 has 16 divisors (see below), whose sum is σ = 2271420. Its totient is φ = 403776.

The previous prime is 1009457. The next prime is 1009483. The reversal of 1009480 is 849001.

1009480 = T₆₅ + T₆₆ + ... + T₁₈₄.

It can be written as a sum of positive squares in 2 ways, for example, as 1004004 + 5476 = 1002^2 + 74^2 .

It is not an unprimeable number, because it can be changed into a prime (1009483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12579 + ... + 12658.

2^1009480 is an apocalyptic number.

1009480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009480 is an abundant number, since it is smaller than the sum of its proper divisors (1261940).

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

1009480 is a wasteful number, since it uses less digits than its factorization.

1009480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25248 (or 25244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1009480 is about 1004.7288191348. The cubic root of 1009480 is about 100.3150066661.

The spelling of 1009480 in words is "one million, nine thousand, four hundred eighty".