385511040 has 384 divisors, whose sum is σ = 1466449920. Its totient is φ = 92897280.

The previous prime is 385511017. The next prime is 385511107. The reversal of 385511040 is 40115583.

385511040 is a `hidden beast` number, since 3 + 8 + 551 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 385510995 and 385511013.

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, 3035457 + ... + 3035583.

It is an arithmetic number, because the mean of its divisors is an integer number (3818880).

Almost surely, 2^385511040 is an apocalyptic number.

385511040 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 385511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733224960).

385511040 is an abundant number, since it is smaller than the sum of its proper divisors (1080938880).

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

385511040 is a wasteful number, since it uses less digits than its factorization.

385511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 385511040 is about 19634.4350568077. The cubic root of 385511040 is about 727.8003719437.

The spelling of 385511040 in words is "three hundred eighty-five million, five hundred eleven thousand, forty".