1009479240 has 512 divisors, whose sum is σ = 4285440000. Its totient is φ = 205286400.

The previous prime is 1009479217. The next prime is 1009479277. The reversal of 1009479240 is 429749001.

1009479240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1009479195 and 1009479204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5072661 + ... + 5072859.

It is an arithmetic number, because the mean of its divisors is an integer number (8370000).

Almost surely, 2^1009479240 is an apocalyptic number.

1009479240 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 1009479240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720000).

1009479240 is an abundant number, since it is smaller than the sum of its proper divisors (3275960760).

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

1009479240 is a wasteful number, since it uses less digits than its factorization.

1009479240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

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

The square root of 1009479240 is about 31772.3030326730. The cubic root of 1009479240 is about 1003.1498149159.

It can be divided in two parts, 1009 and 479240, that added together give a square (480249 = 693²).

The spelling of 1009479240 in words is "one billion, nine million, four hundred seventy-nine thousand, two hundred forty".