1035400000 has 168 divisors, whose sum is σ = 2666829312. Its totient is φ = 398400000.

The previous prime is 1035399973. The next prime is 1035400001. The reversal of 1035400000 is 45301.

It is a super-3 number, since 3×1035400000³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6199917 + ... + 6200083.

It is an arithmetic number, because the mean of its divisors is an integer number (15873984).

Almost surely, 2^1035400000 is an apocalyptic number.

1035400000 is a gapful number since it is divisible by the number (10) 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 1035400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333414656).

1035400000 is an abundant number, since it is smaller than the sum of its proper divisors (1631429312).

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

1035400000 is an frugal number, since it uses more digits than its factorization.

1035400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1035400000 is about 32177.6319824812. The cubic root of 1035400000 is about 1011.6634353935.

Adding to 1035400000 its reverse (45301), we get a palindrome (1035445301).

The spelling of 1035400000 in words is "one billion, thirty-five million, four hundred thousand".