385410264 has 128 divisors (see below), whose sum is σ = 1082211840. Its totient is φ = 113743872.

The previous prime is 385410257. The next prime is 385410283. The reversal of 385410264 is 462014583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628422 + ... + 629034.

It is an arithmetic number, because the mean of its divisors is an integer number (8454780).

Almost surely, 2^385410264 is an apocalyptic number.

385410264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385410264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541105920).

385410264 is an abundant number, since it is smaller than the sum of its proper divisors (696801576).

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

385410264 is a wasteful number, since it uses less digits than its factorization.

385410264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 385410264 is about 19631.8685814672. The cubic root of 385410264 is about 727.7369485960.

The spelling of 385410264 in words is "three hundred eighty-five million, four hundred ten thousand, two hundred sixty-four".