1009459984 has 75 divisors (see below), whose sum is σ = 2164848947. Its totient is φ = 455991744.

The previous prime is 1009459981. The next prime is 1009459991. The reversal of 1009459984 is 4899549001.

It is a happy number.

The square root of 1009459984 is 31772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 500506384 + 508953600 = 22372^2 + 22560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009459981) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21477849 + ... + 21477895.

Almost surely, 2^1009459984 is an apocalyptic number.

1009459984 is the 31772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009459984

1009459984 is an abundant number, since it is smaller than the sum of its proper divisors (1155388963).

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

1009459984 is an frugal number, since it uses more digits than its factorization.

1009459984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The cubic root of 1009459984 is about 1003.1434364536.

Multiplying 1009459984 by its sum of digits (49), we get a square (49463539216 = 222404²).

The spelling of 1009459984 in words is "one billion, nine million, four hundred fifty-nine thousand, nine hundred eighty-four".