385945560 has 960 divisors, whose sum is σ = 1877087520. Its totient is φ = 69672960.

The previous prime is 385945559. The next prime is 385945561. The reversal of 385945560 is 65549583.

385945560 is a `hidden beast` number, since 3 + 8 + 5 + 94 + 556 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (385945559) and next prime (385945561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385945561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22702672 + ... + 22702688.

Almost surely, 2^385945560 is an apocalyptic number.

385945560 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 385945560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938543760).

385945560 is an abundant number, since it is smaller than the sum of its proper divisors (1491141960).

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

385945560 is a wasteful number, since it uses less digits than its factorization.

385945560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 385945560 is about 19645.4971940137. The cubic root of 385945560 is about 728.0737104852.

The spelling of 385945560 in words is "three hundred eighty-five million, nine hundred forty-five thousand, five hundred sixty".