385758720 has 160 divisors (see below), whose sum is σ = 1370492640. Its totient is φ = 102850560.

The previous prime is 385758683. The next prime is 385758797. The reversal of 385758720 is 27857583.

385758720 is a `hidden beast` number, since 3 + 8 + 575 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66330 + ... + 71910.

It is an arithmetic number, because the mean of its divisors is an integer number (8565579).

Almost surely, 2^385758720 is an apocalyptic number.

385758720 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 385758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685246320).

385758720 is an abundant number, since it is smaller than the sum of its proper divisors (984733920).

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

385758720 is an equidigital number, since it uses as much as digits as its factorization.

385758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 385758720 is about 19640.7413302044. The cubic root of 385758720 is about 727.9562023323.

The spelling of 385758720 in words is "three hundred eighty-five million, seven hundred fifty-eight thousand, seven hundred twenty".