1245485200 has 60 divisors (see below), whose sum is σ = 3005565940. Its totient is φ = 495982080.

The previous prime is 1245485191. The next prime is 1245485203. The reversal of 1245485200 is 25845421.

It can be written as a sum of positive squares in 6 ways, for example, as 18524416 + 1226960784 = 4304^2 + 35028^2 .

It is not an unprimeable number, because it can be changed into a prime (1245485203) 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, 84802 + ... + 98398.

Almost surely, 2^1245485200 is an apocalyptic number.

1245485200 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 1245485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502782970).

1245485200 is an abundant number, since it is smaller than the sum of its proper divisors (1760080740).

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

1245485200 is a wasteful number, since it uses less digits than its factorization.

1245485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13844 (or 13833 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 1245485200 is about 35291.4323880457. The cubic root of 1245485200 is about 1075.9188682303.

The spelling of 1245485200 in words is "one billion, two hundred forty-five million, four hundred eighty-five thousand, two hundred".