1004914336 has 48 divisors (see below), whose sum is σ = 2105661096. Its totient is φ = 470450176.

The previous prime is 1004914327. The next prime is 1004914349. The reversal of 1004914336 is 6334194001.

It can be written as a sum of positive squares in 4 ways, for example, as 983198736 + 21715600 = 31356^2 + 4660^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1004914298 and 1004914307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102480 + ... + 111856.

Almost surely, 2^1004914336 is an apocalyptic number.

1004914336 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 1004914336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052830548).

1004914336 is an abundant number, since it is smaller than the sum of its proper divisors (1100746760).

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

1004914336 is a wasteful number, since it uses less digits than its factorization.

1004914336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9601 (or 9593 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 1004914336 is about 31700.3838462565. The cubic root of 1004914336 is about 1001.6354358914.

The spelling of 1004914336 in words is "one billion, four million, nine hundred fourteen thousand, three hundred thirty-six".