1385904240 has 360 divisors, whose sum is σ = 5470038288. Its totient is φ = 313528320.

The previous prime is 1385904239. The next prime is 1385904283. The reversal of 1385904240 is 424095831.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 1385904195 and 1385904204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5750520 + ... + 5750760.

Almost surely, 2^1385904240 is an apocalyptic number.

1385904240 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 1385904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735019144).

1385904240 is an abundant number, since it is smaller than the sum of its proper divisors (4084134048).

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

1385904240 is a wasteful number, since it uses less digits than its factorization.

1385904240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1385904240 is about 37227.7348223069. The cubic root of 1385904240 is about 1114.9218013756.

The spelling of 1385904240 in words is "one billion, three hundred eighty-five million, nine hundred four thousand, two hundred forty".