1385808480 has 192 divisors, whose sum is σ = 5543354880. Its totient is φ = 316749312.

The previous prime is 1385808449. The next prime is 1385808481. The reversal of 1385808480 is 848085831.

1385808480 is a `hidden beast` number, since 13 + 85 + 80 + 8 + 480 = 666.

It is a super-5 number, since 5×1385808480⁵ (a number of 47 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385808481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7327 + ... + 53153.

It is an arithmetic number, because the mean of its divisors is an integer number (28871640).

Almost surely, 2^1385808480 is an apocalyptic number.

1385808480 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 1385808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771677440).

1385808480 is an abundant number, since it is smaller than the sum of its proper divisors (4157546400).

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

1385808480 is a wasteful number, since it uses less digits than its factorization.

1385808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45858 (or 45844 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1385808480 is about 37226.4486622079. The cubic root of 1385808480 is about 1114.8961220231.

The spelling of 1385808480 in words is "one billion, three hundred eighty-five million, eight hundred eight thousand, four hundred eighty".