385916500 has 48 divisors (see below), whose sum is σ = 856726416. Its totient is φ = 151824000.

The previous prime is 385916423. The next prime is 385916513. The reversal of 385916500 is 5619583.

It can be written as a sum of positive squares in 8 ways, for example, as 351787536 + 34128964 = 18756^2 + 5842^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 385916500.

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, 24174 + ... + 36826.

It is an arithmetic number, because the mean of its divisors is an integer number (17848467).

Almost surely, 2^385916500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385916500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428363208).

385916500 is an abundant number, since it is smaller than the sum of its proper divisors (470809916).

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

385916500 is a wasteful number, since it uses less digits than its factorization.

385916500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12733 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 385916500 is about 19644.7575704054. The cubic root of 385916500 is about 728.0554364459.

The spelling of 385916500 in words is "three hundred eighty-five million, nine hundred sixteen thousand, five hundred".