1011009384 has 256 divisors, whose sum is σ = 3545856000. Its totient is φ = 259269120.

The previous prime is 1011009383. The next prime is 1011009407. The reversal of 1011009384 is 4839001101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1011009383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479907 + ... + 1480589.

It is an arithmetic number, because the mean of its divisors is an integer number (13851000).

Almost surely, 2^1011009384 is an apocalyptic number.

1011009384 is a gapful number since it is divisible by the number (14) 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 1011009384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772928000).

1011009384 is an abundant number, since it is smaller than the sum of its proper divisors (2534846616).

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

1011009384 is a wasteful number, since it uses less digits than its factorization.

1011009384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1011009384 is about 31796.3737555087. The cubic root of 1011009384 is about 1003.6564090450.

The spelling of 1011009384 in words is "one billion, eleven million, nine thousand, three hundred eighty-four".