385215264 has 252 divisors, whose sum is σ = 1326637494. Its totient is φ = 109734912.

The previous prime is 385215239. The next prime is 385215283. The reversal of 385215264 is 462512583.

385215264 is a `hidden beast` number, since 385 + 2 + 15 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 357210000 + 28005264 = 18900^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 41 ways as a sum of consecutive naturals, for example, 1142904 + ... + 1143240.

Almost surely, 2^385215264 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 385215264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663318747).

385215264 is an abundant number, since it is smaller than the sum of its proper divisors (941422230).

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

385215264 is an equidigital number, since it uses as much as digits as its factorization.

385215264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 349 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 385215264 is about 19626.9015384497. The cubic root of 385215264 is about 727.6141939990.

The spelling of 385215264 in words is "three hundred eighty-five million, two hundred fifteen thousand, two hundred sixty-four".