1385223840 has 864 divisors, whose sum is σ = 6558185088. Its totient is φ = 257126400.

The previous prime is 1385223799. The next prime is 1385223863. The reversal of 1385223840 is 483225831.

1385223840 is a `hidden beast` number, since 1 + 385 + 2 + 238 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1385223795 and 1385223804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44684625 + ... + 44684655.

It is an arithmetic number, because the mean of its divisors is an integer number (7590492).

Almost surely, 2^1385223840 is an apocalyptic number.

1385223840 is a gapful number since it is divisible by the number (10) 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 1385223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279092544).

1385223840 is an abundant number, since it is smaller than the sum of its proper divisors (5172961248).

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

1385223840 is a wasteful number, since it uses less digits than its factorization.

1385223840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1385223840 is about 37218.5953523235. The cubic root of 1385223840 is about 1114.7393171540.

The spelling of 1385223840 in words is "one billion, three hundred eighty-five million, two hundred twenty-three thousand, eight hundred forty".