385262496 has 72 divisors (see below), whose sum is σ = 1099016100. Its totient is φ = 128019456.

The previous prime is 385262473. The next prime is 385262497. The reversal of 385262496 is 694262583.

385262496 is a `hidden beast` number, since 38 + 526 + 2 + 4 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 384944400 + 318096 = 19620^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (385262497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98596 + ... + 102428.

Almost surely, 2^385262496 is an apocalyptic number.

385262496 is a gapful number since it is divisible by the number (36) 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 385262496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549508050).

385262496 is an abundant number, since it is smaller than the sum of its proper divisors (713753604).

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

385262496 is a wasteful number, since it uses less digits than its factorization.

385262496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4187 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 385262496 is about 19628.1047480392. The cubic root of 385262496 is about 727.6439308521.

The spelling of 385262496 in words is "three hundred eighty-five million, two hundred sixty-two thousand, four hundred ninety-six".