1387546992 has 240 divisors, whose sum is σ = 4407530400. Its totient is φ = 404490240.

The previous prime is 1387546973. The next prime is 1387546997. The reversal of 1387546992 is 2996457831.

1387546992 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 546 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387546997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3311359 + ... + 3311777.

It is an arithmetic number, because the mean of its divisors is an integer number (18364710).

Almost surely, 2^1387546992 is an apocalyptic number.

1387546992 is a gapful number since it is divisible by the number (12) 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 1387546992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203765200).

1387546992 is an abundant number, since it is smaller than the sum of its proper divisors (3019983408).

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

1387546992 is a wasteful number, since it uses less digits than its factorization.

1387546992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1387546992 is about 37249.7918383445. The cubic root of 1387546992 is about 1115.3621436887.

The spelling of 1387546992 in words is "one billion, three hundred eighty-seven million, five hundred forty-six thousand, nine hundred ninety-two".