385056200 has 96 divisors (see below), whose sum is σ = 933589800. Its totient is φ = 147517440.

The previous prime is 385056181. The next prime is 385056233. The reversal of 385056200 is 2650583.

It can be written as a sum of positive squares in 12 ways, for example, as 77334436 + 307721764 = 8794^2 + 17542^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 1142432 + ... + 1142768.

Almost surely, 2^385056200 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 385056200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466794900).

385056200 is an abundant number, since it is smaller than the sum of its proper divisors (548533600).

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

385056200 is a wasteful number, since it uses less digits than its factorization.

385056200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 385056200 is about 19622.8489266977. The cubic root of 385056200 is about 727.5140308186.

The spelling of 385056200 in words is "three hundred eighty-five million, fifty-six thousand, two hundred".