1034285200 has 60 divisors (see below), whose sum is σ = 2676027508. Its totient is φ = 381888000.

The previous prime is 1034285191. The next prime is 1034285201. The reversal of 1034285200 is 25824301.

1034285200 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 270536704 + 763748496 = 16448^2 + 27636^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1034285201) 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, 94251 + ... + 104650.

Almost surely, 2^1034285200 is an apocalyptic number.

1034285200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034285200 is an abundant number, since it is smaller than the sum of its proper divisors (1641742308).

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

1034285200 is a wasteful number, since it uses less digits than its factorization.

1034285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198932 (or 198921 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1034285200 is about 32160.3047249245. The cubic root of 1034285200 is about 1011.3002239445.

The spelling of 1034285200 in words is "one billion, thirty-four million, two hundred eighty-five thousand, two hundred".