1245653200 has 120 divisors (see below), whose sum is σ = 3298244256. Its totient is φ = 448320000.

The previous prime is 1245653179. The next prime is 1245653203. The reversal of 1245653200 is 23565421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1245653203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442999 + ... + 445801.

Almost surely, 2^1245653200 is an apocalyptic number.

1245653200 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 1245653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649122128).

1245653200 is an abundant number, since it is smaller than the sum of its proper divisors (2052591056).

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

1245653200 is a wasteful number, since it uses less digits than its factorization.

1245653200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1245653200 is about 35293.8124888769. The cubic root of 1245653200 is about 1075.9672419467.

It can be divided in two parts, 124565 and 3200, that added together give a triangular number (127765 = T₅₀₅).

The spelling of 1245653200 in words is "one billion, two hundred forty-five million, six hundred fifty-three thousand, two hundred".