1385940864 has 256 divisors, whose sum is σ = 4833331200. Its totient is φ = 340899840.

The previous prime is 1385940863. The next prime is 1385940953. The reversal of 1385940864 is 4680495831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385940863) 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, 560559 + ... + 563025.

It is an arithmetic number, because the mean of its divisors is an integer number (18880200).

Almost surely, 2^1385940864 is an apocalyptic number.

1385940864 is a gapful number since it is divisible by the number (14) 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 1385940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416665600).

1385940864 is an abundant number, since it is smaller than the sum of its proper divisors (3447390336).

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

1385940864 is a wasteful number, since it uses less digits than its factorization.

1385940864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 1385940864 is about 37228.2267103874. The cubic root of 1385940864 is about 1114.9316222890.

It can be divided in two parts, 1385 and 940864, that added together give a palindrome (942249).

The spelling of 1385940864 in words is "one billion, three hundred eighty-five million, nine hundred forty thousand, eight hundred sixty-four".