1352442000 has 320 divisors, whose sum is σ = 5368656384. Its totient is φ = 285235200.

The previous prime is 1352441971. The next prime is 1352442017. The reversal of 1352442000 is 2442531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544762 + ... + 547238.

Almost surely, 2^1352442000 is an apocalyptic number.

1352442000 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 1352442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684328192).

1352442000 is an abundant number, since it is smaller than the sum of its proper divisors (4016214384).

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

1352442000 is a wasteful number, since it uses less digits than its factorization.

1352442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1352442000 is about 36775.5625381856. The cubic root of 1352442000 is about 1105.8754485451.

Adding to 1352442000 its reverse (2442531), we get a palindrome (1354884531).

The spelling of 1352442000 in words is "one billion, three hundred fifty-two million, four hundred forty-two thousand".