385152 has 64 divisors (see below), whose sum is σ = 1101600. Its totient is φ = 118784.

The previous prime is 385141. The next prime is 385153. The reversal of 385152 is 251583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (385153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6499 + ... + 6557.

2³⁸⁵¹⁵² is an apocalyptic number.

385152 is a gapful number since it is divisible by the number (32) 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 385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800).

385152 is an abundant number, since it is smaller than the sum of its proper divisors (716448).

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

385152 is a wasteful number, since it uses less digits than its factorization.

385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 385152 is about 620.6061553030. The cubic root of 385152 is about 72.7574359731.

The spelling of 385152 in words is "three hundred eighty-five thousand, one hundred fifty-two".