1352173440 has 256 divisors, whose sum is σ = 4487918400. Its totient is φ = 346030080.

The previous prime is 1352173439. The next prime is 1352173447. The reversal of 1352173440 is 443712531.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1352173398 and 1352173407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352173447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7005984 + ... + 7006176.

Almost surely, 2^1352173440 is an apocalyptic number.

1352173440 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 1352173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243959200).

1352173440 is an abundant number, since it is smaller than the sum of its proper divisors (3135744960).

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

1352173440 is a wasteful number, since it uses less digits than its factorization.

1352173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1352173440 is about 36771.9110191461. The cubic root of 1352173440 is about 1105.8022442793.

Adding to 1352173440 its reverse (443712531), we get a palindrome (1795885971).

The spelling of 1352173440 in words is "one billion, three hundred fifty-two million, one hundred seventy-three thousand, four hundred forty".