385031820 has 96 divisors (see below), whose sum is σ = 1110303936. Its totient is φ = 99635200.

The previous prime is 385031813. The next prime is 385031821. The reversal of 385031820 is 28130583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (385031821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690982 + ... + 691538.

It is an arithmetic number, because the mean of its divisors is an integer number (11565666).

Almost surely, 2^385031820 is an apocalyptic number.

385031820 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 385031820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555151968).

385031820 is an abundant number, since it is smaller than the sum of its proper divisors (725272116).

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

385031820 is a wasteful number, since it uses less digits than its factorization.

385031820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 385031820 is about 19622.2277022768. The cubic root of 385031820 is about 727.4986762059.

The spelling of 385031820 in words is "three hundred eighty-five million, thirty-one thousand, eight hundred twenty".