1352386440 has 48 divisors (see below), whose sum is σ = 4395257100. Its totient is φ = 360636288.

The previous prime is 1352386433. The next prime is 1352386447. The reversal of 1352386440 is 446832531.

1352386440 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 3 + 8 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1352386433) and next prime (1352386447).

It can be written as a sum of positive squares in 2 ways, for example, as 1182396996 + 169989444 = 34386^2 + 13038^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1352386395 and 1352386404.

It is not an unprimeable number, because it can be changed into a prime (1352386447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1877955 + ... + 1878674.

Almost surely, 2^1352386440 is an apocalyptic number.

1352386440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352386440 is an abundant number, since it is smaller than the sum of its proper divisors (3042870660).

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

1352386440 is a wasteful number, since it uses less digits than its factorization.

1352386440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756646 (or 3756639 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1352386440 is about 36774.8071374956. The cubic root of 1352386440 is about 1105.8603047580.

The spelling of 1352386440 in words is "one billion, three hundred fifty-two million, three hundred eighty-six thousand, four hundred forty".