1385542080 has 336 divisors, whose sum is σ = 5358749760. Its totient is φ = 326025216.

The previous prime is 1385542079. The next prime is 1385542091. The reversal of 1385542080 is 802455831.

1385542080 = 244³ + 245³ + ... + 308³.

It is a happy number.

1385542080 is a `hidden beast` number, since 1 + 3 + 8 + 554 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860316 + ... + 861924.

It is an arithmetic number, because the mean of its divisors is an integer number (15948660).

Almost surely, 2^1385542080 is an apocalyptic number.

1385542080 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 1385542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679374880).

1385542080 is an abundant number, since it is smaller than the sum of its proper divisors (3973207680).

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

1385542080 is a wasteful number, since it uses less digits than its factorization.

1385542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1385542080 is about 37222.8703890498. The cubic root of 1385542080 is about 1114.8246769990.

The spelling of 1385542080 in words is "one billion, three hundred eighty-five million, five hundred forty-two thousand, eighty".