1385456364 has 72 divisors (see below), whose sum is σ = 3703103040. Its totient is φ = 435536352.

The previous prime is 1385456333. The next prime is 1385456389. The reversal of 1385456364 is 4636545831.

1385456364 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 4 + 5 + 636 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150807 + ... + 159729.

Almost surely, 2^1385456364 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 1385456364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851551520).

1385456364 is an abundant number, since it is smaller than the sum of its proper divisors (2317646676).

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

1385456364 is a wasteful number, since it uses less digits than its factorization.

1385456364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179 (or 9174 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 1385456364 is about 37221.7189823361. The cubic root of 1385456364 is about 1114.8016871324.

The spelling of 1385456364 in words is "one billion, three hundred eighty-five million, four hundred fifty-six thousand, three hundred sixty-four".