1387450368 has 156 divisors (see below), whose sum is σ = 4080002628. Its totient is φ = 454164480.

The previous prime is 1387450343. The next prime is 1387450369. The reversal of 1387450368 is 8630547831.

1387450368 is a `hidden beast` number, since 1 + 3 + 87 + 4 + 503 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 1344835584 = 6528^2 + 36672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387450369) 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, 2248396 + ... + 2249012.

It is an arithmetic number, because the mean of its divisors is an integer number (26153863).

Almost surely, 2^1387450368 is an apocalyptic number.

1387450368 is a gapful number since it is divisible by the number (18) 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 1387450368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040001314).

1387450368 is an abundant number, since it is smaller than the sum of its proper divisors (2692552260).

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

1387450368 is an equidigital number, since it uses as much as digits as its factorization.

1387450368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1387450368 is about 37248.4948420738. The cubic root of 1387450368 is about 1115.3362530933.

The spelling of 1387450368 in words is "one billion, three hundred eighty-seven million, four hundred fifty thousand, three hundred sixty-eight".