1035522400 has 72 divisors (see below), whose sum is σ = 2757807864. Its totient is φ = 376550400.

The previous prime is 1035522391. The next prime is 1035522403. The reversal of 1035522400 is 42255301.

1035522400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1035522400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035522403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50037 + ... + 67636.

It is an arithmetic number, because the mean of its divisors is an integer number (38302887).

Almost surely, 2^1035522400 is an apocalyptic number.

1035522400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035522400 is an abundant number, since it is smaller than the sum of its proper divisors (1722285464).

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

1035522400 is a wasteful number, since it uses less digits than its factorization.

1035522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117704 (or 117691 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1035522400 is about 32179.5338685942. The cubic root of 1035522400 is about 1011.7032984820.

Adding to 1035522400 its reverse (42255301), we get a palindrome (1077777701).

The spelling of 1035522400 in words is "one billion, thirty-five million, five hundred twenty-two thousand, four hundred".