385054560 has 480 divisors, whose sum is σ = 1543383072. Its totient is φ = 89579520.

The previous prime is 385054559. The next prime is 385054583. The reversal of 385054560 is 65450583.

385054560 is a `hidden beast` number, since 3 + 8 + 50 + 545 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5274684 + ... + 5274756.

Almost surely, 2^385054560 is an apocalyptic number.

385054560 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 385054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771691536).

385054560 is an abundant number, since it is smaller than the sum of its proper divisors (1158328512).

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

385054560 is a wasteful number, since it uses less digits than its factorization.

385054560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 385054560 is about 19622.8071386334. The cubic root of 385054560 is about 727.5129979610.

The spelling of 385054560 in words is "three hundred eighty-five million, fifty-four thousand, five hundred sixty".