1385459712 has 468 divisors, whose sum is σ = 5098406040. Its totient is φ = 359202816.

The previous prime is 1385459687. The next prime is 1385459753. The reversal of 1385459712 is 2179545831.

1385459712 is a `hidden beast` number, since 1 + 3 + 8 + 54 + 597 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a super-2 number, since 2×1385459712² = 3838997227150245888, which contains 22 as substring.

Its product of digits (302400) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23482339 + ... + 23482397.

It is an arithmetic number, because the mean of its divisors is an integer number (10894030).

Almost surely, 2^1385459712 is an apocalyptic number.

1385459712 is a gapful number since it is divisible by the number (12) 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 1385459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549203020).

1385459712 is an abundant number, since it is smaller than the sum of its proper divisors (3712946328).

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

1385459712 is a wasteful number, since it uses less digits than its factorization.

1385459712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 1385459712 is about 37221.7639560513. The cubic root of 1385459712 is about 1114.8025851165.

The spelling of 1385459712 in words is "one billion, three hundred eighty-five million, four hundred fifty-nine thousand, seven hundred twelve".