385894080 has 336 divisors, whose sum is σ = 1561027104. Its totient is φ = 86261760.

The previous prime is 385894079. The next prime is 385894129. The reversal of 385894080 is 80498583.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411372 + ... + 412308.

It is an arithmetic number, because the mean of its divisors is an integer number (4645914).

Almost surely, 2^385894080 is an apocalyptic number.

385894080 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 385894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780513552).

385894080 is an abundant number, since it is smaller than the sum of its proper divisors (1175133024).

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

385894080 is a wasteful number, since it uses less digits than its factorization.

385894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 385894080 is about 19644.1869264167. The cubic root of 385894080 is about 728.0413372655.

The spelling of 385894080 in words is "three hundred eighty-five million, eight hundred ninety-four thousand, eighty".