1038491600 has 30 divisors (see below), whose sum is σ = 2494977030. Its totient is φ = 415396480.

The previous prime is 1038491579. The next prime is 1038491609. The reversal of 1038491600 is 61948301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 620944 + 1037870656 = 788^2 + 32216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038491609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1297715 + ... + 1298514.

It is an arithmetic number, because the mean of its divisors is an integer number (83165901).

Almost surely, 2^1038491600 is an apocalyptic number.

1038491600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038491600 is an abundant number, since it is smaller than the sum of its proper divisors (1456485430).

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

1038491600 is a wasteful number, since it uses less digits than its factorization.

1038491600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596247 (or 2596236 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1038491600 is about 32225.6357578869. The cubic root of 1038491600 is about 1012.6693432142.

The spelling of 1038491600 in words is "one billion, thirty-eight million, four hundred ninety-one thousand, six hundred".