385102080 has 288 divisors, whose sum is σ = 1492283520. Its totient is φ = 93265920.

The previous prime is 385102073. The next prime is 385102093. The reversal of 385102080 is 80201583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×385102080² = 296607224040652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379654 + ... + 380666.

It is an arithmetic number, because the mean of its divisors is an integer number (5181540).

Almost surely, 2^385102080 is an apocalyptic number.

385102080 is a gapful number since it is divisible by the number (30) 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 385102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746141760).

385102080 is an abundant number, since it is smaller than the sum of its proper divisors (1107181440).

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

385102080 is a wasteful number, since it uses less digits than its factorization.

385102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 385102080 is about 19624.0179372115. The cubic root of 385102080 is about 727.5429244521.

The spelling of 385102080 in words is "three hundred eighty-five million, one hundred two thousand, eighty".