1387249416 has 160 divisors (see below), whose sum is σ = 4634087040. Its totient is φ = 379095552.

The previous prime is 1387249403. The next prime is 1387249417. The reversal of 1387249416 is 6149427831.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1387249417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97680 + ... + 110976.

It is an arithmetic number, because the mean of its divisors is an integer number (28963044).

Almost surely, 2^1387249416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387249416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317043520).

1387249416 is an abundant number, since it is smaller than the sum of its proper divisors (3246837624).

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

1387249416 is a wasteful number, since it uses less digits than its factorization.

1387249416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345 (or 13332 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1387249416 is about 37245.7972931175. The cubic root of 1387249416 is about 1115.2824037503.

The spelling of 1387249416 in words is "one billion, three hundred eighty-seven million, two hundred forty-nine thousand, four hundred sixteen".