1385475840 has 720 divisors, whose sum is σ = 5983262208. Its totient is φ = 299261952.

The previous prime is 1385475829. The next prime is 1385475853. The reversal of 1385475840 is 485745831.

1385475840 is a `hidden beast` number, since 13 + 8 + 54 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16692439 + ... + 16692521.

Almost surely, 2^1385475840 is an apocalyptic number.

1385475840 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 1385475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991631104).

1385475840 is an abundant number, since it is smaller than the sum of its proper divisors (4597786368).

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

1385475840 is an equidigital number, since it uses as much as digits as its factorization.

1385475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 1385475840 is about 37221.9806028642. The cubic root of 1385475840 is about 1114.8069108687.

The spelling of 1385475840 in words is "one billion, three hundred eighty-five million, four hundred seventy-five thousand, eight hundred forty".