1353004240 has 80 divisors (see below), whose sum is σ = 3604947840. Its totient is φ = 462620160.

The previous prime is 1353004229. The next prime is 1353004241. The reversal of 1353004240 is 424003531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353004241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214735 + ... + 220945.

It is an arithmetic number, because the mean of its divisors is an integer number (45061848).

Almost surely, 2^1353004240 is an apocalyptic number.

1353004240 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 1353004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802473920).

1353004240 is an abundant number, since it is smaller than the sum of its proper divisors (2251943600).

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

1353004240 is a wasteful number, since it uses less digits than its factorization.

1353004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1353004240 is about 36783.2059505422. The cubic root of 1353004240 is about 1106.0286729277.

Adding to 1353004240 its reverse (424003531), we get a palindrome (1777007771).

The spelling of 1353004240 in words is "one billion, three hundred fifty-three million, four thousand, two hundred forty".