1002409920 has 336 divisors, whose sum is σ = 3704051520. Its totient is φ = 248168448.

The previous prime is 1002409909. The next prime is 1002409949. The reversal of 1002409920 is 299042001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2450676 + ... + 2451084.

Almost surely, 2^1002409920 is an apocalyptic number.

1002409920 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 1002409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852025760).

1002409920 is an abundant number, since it is smaller than the sum of its proper divisors (2701641600).

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

1002409920 is a wasteful number, since it uses less digits than its factorization.

1002409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1002409920 is about 31660.8578531915. The cubic root of 1002409920 is about 1000.8026622276.

The spelling of 1002409920 in words is "one billion, two million, four hundred nine thousand, nine hundred twenty".