385527720 has 64 divisors (see below), whose sum is σ = 1161760320. Its totient is φ = 102347264.

The previous prime is 385527719. The next prime is 385527721. The reversal of 385527720 is 27725583.

It is an interprime number because it is at equal distance from previous prime (385527719) and next prime (385527721).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (385527721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20164 + ... + 34316.

It is an arithmetic number, because the mean of its divisors is an integer number (18152505).

Almost surely, 2^385527720 is an apocalyptic number.

385527720 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 385527720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580880160).

385527720 is an abundant number, since it is smaller than the sum of its proper divisors (776232600).

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

385527720 is a wasteful number, since it uses less digits than its factorization.

385527720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14394 (or 14390 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 385527720 is about 19634.8598161535. The cubic root of 385527720 is about 727.8108684309.

The spelling of 385527720 in words is "three hundred eighty-five million, five hundred twenty-seven thousand, seven hundred twenty".