386263350 has 288 divisors, whose sum is σ = 1256169600. Its totient is φ = 86313600.

The previous prime is 386263333. The next prime is 386263351. The reversal of 386263350 is 53362683.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386263351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10439532 + ... + 10439568.

It is an arithmetic number, because the mean of its divisors is an integer number (4361700).

Almost surely, 2^386263350 is an apocalyptic number.

386263350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 386263350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628084800).

386263350 is an abundant number, since it is smaller than the sum of its proper divisors (869906250).

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

386263350 is a wasteful number, since it uses less digits than its factorization.

386263350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 386263350 is about 19653.5836426846. The cubic root of 386263350 is about 728.2734891521.

It can be divided in two parts, 3862633 and 50, that added together give a palindrome (3862683).

The spelling of 386263350 in words is "three hundred eighty-six million, two hundred sixty-three thousand, three hundred fifty".