1009381824 has 280 divisors, whose sum is σ = 3375330816. Its totient is φ = 295488000.

The previous prime is 1009381819. The next prime is 1009381843. The reversal of 1009381824 is 4281839001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1767459 + ... + 1768029.

Almost surely, 2^1009381824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687665408).

1009381824 is an abundant number, since it is smaller than the sum of its proper divisors (2365948992).

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

1009381824 is a wasteful number, since it uses less digits than its factorization.

1009381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1009381824 is about 31770.7699623412. The cubic root of 1009381824 is about 1003.1175454770.

The spelling of 1009381824 in words is "one billion, nine million, three hundred eighty-one thousand, eight hundred twenty-four".