1038500416 has 56 divisors (see below), whose sum is σ = 2174808960. Its totient is φ = 491031552.

The previous prime is 1038500413. The next prime is 1038500429. The reversal of 1038500416 is 6140058301.

It is a super-2 number, since 2×1038500416² = 2156966228064346112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1038500413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127045 + ... + 134971.

Almost surely, 2^1038500416 is an apocalyptic number.

1038500416 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 1038500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087404480).

1038500416 is an abundant number, since it is smaller than the sum of its proper divisors (1136308544).

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

1038500416 is an equidigital number, since it uses as much as digits as its factorization.

1038500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1038500416 is about 32225.7725431059. The cubic root of 1038500416 is about 1012.6722088024.

Adding to 1038500416 its reverse (6140058301), we get a palindrome (7178558717).

The spelling of 1038500416 in words is "one billion, thirty-eight million, five hundred thousand, four hundred sixteen".