379260000 has 540 divisors, whose sum is σ = 1604214612. Its totient is φ = 84672000.

The previous prime is 379259989. The next prime is 379260001. The reversal of 379260000 is 62973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379260001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8819979 + ... + 8820021.

Almost surely, 2^379260000 is an apocalyptic number.

379260000 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 379260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802107306).

379260000 is an abundant number, since it is smaller than the sum of its proper divisors (1224954612).

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

379260000 is a wasteful number, since it uses less digits than its factorization.

379260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 379260000 is about 19474.5988405410. The cubic root of 379260000 is about 723.8451690114.

The spelling of 379260000 in words is "three hundred seventy-nine million, two hundred sixty thousand".