1385778456 has 192 divisors, whose sum is σ = 4119897600. Its totient is φ = 435673728.

The previous prime is 1385778437. The next prime is 1385778473. The reversal of 1385778456 is 6548775831.

It is a happy number.

1385778456 is a `hidden beast` number, since 13 + 8 + 577 + 8 + 4 + 56 = 666.

It is a super-2 number, since 2×1385778456² = 3840763858227487872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 2649411 + ... + 2649933.

It is an arithmetic number, because the mean of its divisors is an integer number (21457800).

Almost surely, 2^1385778456 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 1385778456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059948800).

1385778456 is an abundant number, since it is smaller than the sum of its proper divisors (2734119144).

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

1385778456 is a wasteful number, since it uses less digits than its factorization.

1385778456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 604 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 1385778456 is about 37226.0453983498. The cubic root of 1385778456 is about 1114.8880704336. Note that the first 3 decimals are identical.

The spelling of 1385778456 in words is "one billion, three hundred eighty-five million, seven hundred seventy-eight thousand, four hundred fifty-six".