1350441200 has 60 divisors (see below), whose sum is σ = 3252185448. Its totient is φ = 538886400.

The previous prime is 1350441161. The next prime is 1350441217. The reversal of 1350441200 is 21440531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173390 + ... + 181010.

Almost surely, 2^1350441200 is an apocalyptic number.

1350441200 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 1350441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626092724).

1350441200 is an abundant number, since it is smaller than the sum of its proper divisors (1901744248).

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

1350441200 is a wasteful number, since it uses less digits than its factorization.

1350441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1350441200 is about 36748.3496228062. The cubic root of 1350441200 is about 1105.3298360856.

Adding to 1350441200 its reverse (21440531), we get a palindrome (1371881731).

The spelling of 1350441200 in words is "one billion, three hundred fifty million, four hundred forty-one thousand, two hundred".