385747920 has 120 divisors (see below), whose sum is σ = 1343518176. Its totient is φ = 102860928.

The previous prime is 385747919. The next prime is 385747931. The reversal of 385747920 is 29747583.

385747920 is a `hidden beast` number, since 3 + 8 + 574 + 79 + 2 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9519 + ... + 29361.

Almost surely, 2^385747920 is an apocalyptic number.

385747920 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 385747920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671759088).

385747920 is an abundant number, since it is smaller than the sum of its proper divisors (957770256).

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

385747920 is a wasteful number, since it uses less digits than its factorization.

385747920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19871 (or 19853 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 385747920 is about 19640.4663895744. The cubic root of 385747920 is about 727.9494087936.

The spelling of 385747920 in words is "three hundred eighty-five million, seven hundred forty-seven thousand, nine hundred twenty".