1385754048 has 448 divisors, whose sum is σ = 5161605120. Its totient is φ = 355221504.

The previous prime is 1385754043. The next prime is 1385754049. The reversal of 1385754048 is 8404575831.

1385754048 is a `hidden beast` number, since 1 + 38 + 575 + 4 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 1385753994 and 1385754012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385754043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4729390 + ... + 4729682.

It is an arithmetic number, because the mean of its divisors is an integer number (11521440).

Almost surely, 2^1385754048 is an apocalyptic number.

1385754048 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 1385754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580802560).

1385754048 is an abundant number, since it is smaller than the sum of its proper divisors (3775851072).

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

1385754048 is a wasteful number, since it uses less digits than its factorization.

1385754048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 1385754048 is about 37225.7175619222. The cubic root of 1385754048 is about 1114.8815248111.

The spelling of 1385754048 in words is "one billion, three hundred eighty-five million, seven hundred fifty-four thousand, forty-eight".