1085352400 has 120 divisors (see below), whose sum is σ = 2875065984. Its totient is φ = 390451200.

The previous prime is 1085352383. The next prime is 1085352421. The reversal of 1085352400 is 42535801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425529 + ... + 428071.

Almost surely, 2^1085352400 is an apocalyptic number.

1085352400 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 1085352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437532992).

1085352400 is an abundant number, since it is smaller than the sum of its proper divisors (1789713584).

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

1085352400 is a wasteful number, since it uses less digits than its factorization.

1085352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1085352400 is about 32944.6869768101. The cubic root of 1085352400 is about 1027.6776785774.

The spelling of 1085352400 in words is "one billion, eighty-five million, three hundred fifty-two thousand, four hundred".