1035794400 has 72 divisors (see below), whose sum is σ = 3371518584. Its totient is φ = 276211200.

The previous prime is 1035794399. The next prime is 1035794447. The reversal of 1035794400 is 44975301.

It is a super-3 number, since 3×1035794400³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213391 + ... + 218190.

It is an arithmetic number, because the mean of its divisors is an integer number (46826647).

Almost surely, 2^1035794400 is an apocalyptic number.

1035794400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035794400 is an abundant number, since it is smaller than the sum of its proper divisors (2335724184).

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

1035794400 is a wasteful number, since it uses less digits than its factorization.

1035794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431604 (or 431591 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1035794400 is about 32183.7598797903. The cubic root of 1035794400 is about 1011.7918718779.

The spelling of 1035794400 in words is "one billion, thirty-five million, seven hundred ninety-four thousand, four hundred".