385987680 has 480 divisors, whose sum is σ = 1536796800. Its totient is φ = 90574848.

The previous prime is 385987661. The next prime is 385987697. The reversal of 385987680 is 86789583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×385987680² = 297972978223564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4885881 + ... + 4885959.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 2^385987680 is an apocalyptic number.

385987680 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 385987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768398400).

385987680 is an abundant number, since it is smaller than the sum of its proper divisors (1150809120).

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

385987680 is a wasteful number, since it uses less digits than its factorization.

385987680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 385987680 is about 19646.5691661420. The cubic root of 385987680 is about 728.1001955238.

The spelling of 385987680 in words is "three hundred eighty-five million, nine hundred eighty-seven thousand, six hundred eighty".