1352508440 has 96 divisors (see below), whose sum is σ = 3275812800. Its totient is φ = 502394880.

The previous prime is 1352508401. The next prime is 1352508499. The reversal of 1352508440 is 448052531.

It is a junction number, because it is equal to n+sod(n) for n = 1352508397 and 1352508406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 912500 + ... + 913980.

It is an arithmetic number, because the mean of its divisors is an integer number (34123050).

Almost surely, 2^1352508440 is an apocalyptic number.

1352508440 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 1352508440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637906400).

1352508440 is an abundant number, since it is smaller than the sum of its proper divisors (1923304360).

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

1352508440 is a wasteful number, since it uses less digits than its factorization.

1352508440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 1352508440 is about 36776.4658443413. The cubic root of 1352508440 is about 1105.8935573098.

The spelling of 1352508440 in words is "one billion, three hundred fifty-two million, five hundred eight thousand, four hundred forty".