380258600 has 96 divisors (see below), whose sum is σ = 918691200. Its totient is φ = 146265600.

The previous prime is 380258597. The next prime is 380258603. The reversal of 380258600 is 6852083.

It is an interprime number because it is at equal distance from previous prime (380258597) and next prime (380258603).

It is not an unprimeable number, because it can be changed into a prime (380258603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647507 + ... + 648093.

It is an arithmetic number, because the mean of its divisors is an integer number (9569700).

Almost surely, 2^380258600 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 380258600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459345600).

380258600 is an abundant number, since it is smaller than the sum of its proper divisors (538432600).

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

380258600 is a wasteful number, since it uses less digits than its factorization.

380258600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 380258600 is about 19500.2205115737. The cubic root of 380258600 is about 724.4799123725.

The spelling of 380258600 in words is "three hundred eighty million, two hundred fifty-eight thousand, six hundred".