1009384896 has 112 divisors (see below), whose sum is σ = 2913075200. Its totient is φ = 306588672.

The previous prime is 1009384853. The next prime is 1009384897. The reversal of 1009384896 is 6984839001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009384897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194625 + ... + 199743.

It is an arithmetic number, because the mean of its divisors is an integer number (26009600).

Almost surely, 2^1009384896 is an apocalyptic number.

1009384896 is a gapful number since it is divisible by the number (16) 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 1009384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456537600).

1009384896 is an abundant number, since it is smaller than the sum of its proper divisors (1903690304).

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

1009384896 is a wasteful number, since it uses less digits than its factorization.

1009384896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1009384896 is about 31770.8183086303. The cubic root of 1009384896 is about 1003.1185631209.

The spelling of 1009384896 in words is "one billion, nine million, three hundred eighty-four thousand, eight hundred ninety-six".