385017264 has 120 divisors (see below), whose sum is σ = 1117309440. Its totient is φ = 123669504.

The previous prime is 385017251. The next prime is 385017287. The reversal of 385017264 is 462710583.

385017264 is a `hidden beast` number, since 385 + 0 + 17 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 676372 + ... + 676940.

It is an arithmetic number, because the mean of its divisors is an integer number (9310912).

Almost surely, 2^385017264 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 385017264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558654720).

385017264 is an abundant number, since it is smaller than the sum of its proper divisors (732292176).

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

385017264 is a wasteful number, since it uses less digits than its factorization.

385017264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 385017264 is about 19621.8567928726. The cubic root of 385017264 is about 727.4895084752.

The spelling of 385017264 in words is "three hundred eighty-five million, seventeen thousand, two hundred sixty-four".