385010640 has 240 divisors, whose sum is σ = 1508832000. Its totient is φ = 87945984.

The previous prime is 385010621. The next prime is 385010653. The reversal of 385010640 is 46010583.

385010640 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 10 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 246181 + ... + 247739.

It is an arithmetic number, because the mean of its divisors is an integer number (6286800).

Almost surely, 2^385010640 is an apocalyptic number.

385010640 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 385010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754416000).

385010640 is an abundant number, since it is smaller than the sum of its proper divisors (1123821360).

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

385010640 is a wasteful number, since it uses less digits than its factorization.

385010640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 385010640 is about 19621.6880007812. The cubic root of 385010640 is about 727.4853364388.

The spelling of 385010640 in words is "three hundred eighty-five million, ten thousand, six hundred forty".