1035162400 has 72 divisors (see below), whose sum is σ = 2532470724. Its totient is φ = 413184000.

The previous prime is 1035162397. The next prime is 1035162409. The reversal of 1035162400 is 42615301.

1035162400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 306810256 + 728352144 = 17516^2 + 26988^2 .

It is a super-2 number, since 2×1035162400² = 2143122388747520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1035162409) 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, 479724 + ... + 481876.

Almost surely, 2^1035162400 is an apocalyptic number.

1035162400 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 1035162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266235362).

1035162400 is an abundant number, since it is smaller than the sum of its proper divisors (1497308324).

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

1035162400 is a wasteful number, since it uses less digits than its factorization.

1035162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1035162400 is about 32173.9397649713. The cubic root of 1035162400 is about 1011.5860451350.

Adding to 1035162400 its reverse (42615301), we get a palindrome (1077777701).

The spelling of 1035162400 in words is "one billion, thirty-five million, one hundred sixty-two thousand, four hundred".