379295280 has 360 divisors, whose sum is σ = 1597678992. Its totient is φ = 79930368.

The previous prime is 379295227. The next prime is 379295291. The reversal of 379295280 is 82592973.

379295280 is a `hidden beast` number, since 37 + 92 + 9 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458227 + ... + 459053.

Almost surely, 2^379295280 is an apocalyptic number.

379295280 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 379295280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798839496).

379295280 is an abundant number, since it is smaller than the sum of its proper divisors (1218383712).

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

379295280 is a wasteful number, since it uses less digits than its factorization.

379295280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 379295280 is about 19475.5046147719. The cubic root of 379295280 is about 723.8676131269.

The spelling of 379295280 in words is "three hundred seventy-nine million, two hundred ninety-five thousand, two hundred eighty".