385524720 has 120 divisors (see below), whose sum is σ = 1479699936. Its totient is φ = 88118784.

The previous prime is 385524709. The next prime is 385524721. The reversal of 385524720 is 27425583.

385524720 is a `hidden beast` number, since 38 + 552 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385524721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33207 + ... + 43286.

Almost surely, 2^385524720 is an apocalyptic number.

385524720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385524720 is an abundant number, since it is smaller than the sum of its proper divisors (1094175216).

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

385524720 is a wasteful number, since it uses less digits than its factorization.

385524720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76519 (or 76510 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 385524720 is about 19634.7834212654. The cubic root of 385524720 is about 727.8089805958.

The spelling of 385524720 in words is "three hundred eighty-five million, five hundred twenty-four thousand, seven hundred twenty".