385974264 has 64 divisors (see below), whose sum is σ = 1041495840. Its totient is φ = 118494720.

The previous prime is 385974263. The next prime is 385974289. The reversal of 385974264 is 462479583.

It is a super-2 number, since 2×385974264² = 297952264940683392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385974263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172674 + ... + 174894.

Almost surely, 2^385974264 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 385974264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520747920).

385974264 is an abundant number, since it is smaller than the sum of its proper divisors (655521576).

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

385974264 is a wasteful number, since it uses less digits than its factorization.

385974264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2796 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 385974264 is about 19646.2277295159. The cubic root of 385974264 is about 728.0917597577.

The spelling of 385974264 in words is "three hundred eighty-five million, nine hundred seventy-four thousand, two hundred sixty-four".