385051264 has 96 divisors (see below), whose sum is σ = 873229140. Its totient is φ = 168099840.

The previous prime is 385051259. The next prime is 385051273. The reversal of 385051264 is 462150583.

It can be written as a sum of positive squares in 2 ways, for example, as 384473664 + 577600 = 19608^2 + 760^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600384 + ... + 601024.

Almost surely, 2^385051264 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 385051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436614570).

385051264 is an abundant number, since it is smaller than the sum of its proper divisors (488177876).

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

385051264 is a wasteful number, since it uses less digits than its factorization.

385051264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 385051264 is about 19622.7231545471. The cubic root of 385051264 is about 727.5109221602.

The spelling of 385051264 in words is "three hundred eighty-five million, fifty-one thousand, two hundred sixty-four".