385276000 has 96 divisors (see below), whose sum is σ = 962750880. Its totient is φ = 151488000.

The previous prime is 385275973. The next prime is 385276019. The reversal of 385276000 is 672583.

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, 243211 + ... + 244789.

It is an arithmetic number, because the mean of its divisors is an integer number (10028655).

Almost surely, 2^385276000 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 385276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481375440).

385276000 is an abundant number, since it is smaller than the sum of its proper divisors (577474880).

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

385276000 is a wasteful number, since it uses less digits than its factorization.

385276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 385276000 is about 19628.4487415588. The cubic root of 385276000 is about 727.6524324053.

The spelling of 385276000 in words is "three hundred eighty-five million, two hundred seventy-six thousand".