385053120 has 168 divisors, whose sum is σ = 1382243616. Its totient is φ = 98199552.

The previous prime is 385053049. The next prime is 385053121. The reversal of 385053120 is 21350583.

385053120 is a `hidden beast` number, since 38 + 505 + 3 + 120 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385053121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63334 + ... + 69146.

Almost surely, 2^385053120 is an apocalyptic number.

385053120 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 385053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691121808).

385053120 is an abundant number, since it is smaller than the sum of its proper divisors (997190496).

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

385053120 is a wasteful number, since it uses less digits than its factorization.

385053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 385053120 is about 19622.7704466011. The cubic root of 385053120 is about 727.5120910592.

The spelling of 385053120 in words is "three hundred eighty-five million, fifty-three thousand, one hundred twenty".