386248500 has 432 divisors, whose sum is σ = 1464345792. Its totient is φ = 88128000.

The previous prime is 386248469. The next prime is 386248507. The reversal of 386248500 is 5842683.

386248500 = 120³ + 121³ + ... + 204³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386248507) 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, 22720492 + ... + 22720508.

Almost surely, 2^386248500 is an apocalyptic number.

386248500 is a gapful number since it is divisible by the number (30) 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 386248500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732172896).

386248500 is an abundant number, since it is smaller than the sum of its proper divisors (1078097292).

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

386248500 is a wasteful number, since it uses less digits than its factorization.

386248500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 386248500 is about 19653.2058453576. The cubic root of 386248500 is about 728.2641561414.

The spelling of 386248500 in words is "three hundred eighty-six million, two hundred forty-eight thousand, five hundred".