1645363200 has 360 divisors, whose sum is σ = 5915885248. Its totient is φ = 401080320.

The previous prime is 1645363193. The next prime is 1645363201. The reversal of 1645363200 is 23635461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645363201) 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, 15974349 + ... + 15974451.

Almost surely, 2^1645363200 is an apocalyptic number.

1645363200 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 1645363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957942624).

1645363200 is an abundant number, since it is smaller than the sum of its proper divisors (4270522048).

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

1645363200 is a wasteful number, since it uses less digits than its factorization.

1645363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1645363200 is about 40563.0768063765. The cubic root of 1645363200 is about 1180.5578134479.

Adding to 1645363200 its reverse (23635461), we get a palindrome (1668998661).

The spelling of 1645363200 in words is "one billion, six hundred forty-five million, three hundred sixty-three thousand, two hundred".