385393680 has 320 divisors, whose sum is σ = 1542758400. Its totient is φ = 86607360.

The previous prime is 385393639. The next prime is 385393693. The reversal of 385393680 is 86393583.

385393680 is a `hidden beast` number, since 3 + 8 + 539 + 36 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1073341 + ... + 1073699.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^385393680 is an apocalyptic number.

385393680 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 385393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771379200).

385393680 is an abundant number, since it is smaller than the sum of its proper divisors (1157364720).

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

385393680 is a wasteful number, since it uses less digits than its factorization.

385393680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 385393680 is about 19631.4462024579. The cubic root of 385393680 is about 727.7265104008.

The spelling of 385393680 in words is "three hundred eighty-five million, three hundred ninety-three thousand, six hundred eighty".