1009404420 has 96 divisors (see below), whose sum is σ = 2912547456. Its totient is φ = 261043200.

The previous prime is 1009404401. The next prime is 1009404433. The reversal of 1009404420 is 244049001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 444127 + ... + 446393.

It is an arithmetic number, because the mean of its divisors is an integer number (30339036).

Almost surely, 2^1009404420 is an apocalyptic number.

1009404420 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 1009404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456273728).

1009404420 is an abundant number, since it is smaller than the sum of its proper divisors (1903143036).

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

1009404420 is a wasteful number, since it uses less digits than its factorization.

1009404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1009404420 is about 31771.1255702407. The cubic root of 1009404420 is about 1003.1250306771.

The spelling of 1009404420 in words is "one billion, nine million, four hundred four thousand, four hundred twenty".