1385427456 has 320 divisors, whose sum is σ = 4766361600. Its totient is φ = 389173248.

The previous prime is 1385427431. The next prime is 1385427457. The reversal of 1385427456 is 6547245831.

1385427456 is a `hidden beast` number, since 1 + 38 + 542 + 74 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1385427457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9967035 + ... + 9967173.

It is an arithmetic number, because the mean of its divisors is an integer number (14894880).

Almost surely, 2^1385427456 is an apocalyptic number.

1385427456 is a gapful number since it is divisible by the number (16) 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 1385427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383180800).

1385427456 is an abundant number, since it is smaller than the sum of its proper divisors (3380934144).

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

1385427456 is a wasteful number, since it uses less digits than its factorization.

1385427456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 1385427456 is about 37221.3306586425. The cubic root of 1385427456 is about 1114.7939335113.

The spelling of 1385427456 in words is "one billion, three hundred eighty-five million, four hundred twenty-seven thousand, four hundred fifty-six".