379505200 has 60 divisors (see below), whose sum is σ = 915410160. Its totient is φ = 151194880.

The previous prime is 379505171. The next prime is 379505227. The reversal of 379505200 is 2505973.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105837 + ... + 109363.

It is an arithmetic number, because the mean of its divisors is an integer number (15256836).

Almost surely, 2^379505200 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 379505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457705080).

379505200 is an abundant number, since it is smaller than the sum of its proper divisors (535904960).

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

379505200 is a wasteful number, since it uses less digits than its factorization.

379505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 379505200 is about 19480.8932033416. The cubic root of 379505200 is about 724.0011293899.

The spelling of 379505200 in words is "three hundred seventy-nine million, five hundred five thousand, two hundred".