379506240 has 168 divisors, whose sum is σ = 1312624248. Its totient is φ = 100638720.

The previous prime is 379506223. The next prime is 379506251. The reversal of 379506240 is 42605973.

It can be written as a sum of positive squares in 4 ways, for example, as 54641664 + 324864576 = 7392^2 + 18024^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 379506195 and 379506204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901230 + ... + 901650.

Almost surely, 2^379506240 is an apocalyptic number.

379506240 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 379506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656312124).

379506240 is an abundant number, since it is smaller than the sum of its proper divisors (933118008).

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

379506240 is a wasteful number, since it uses less digits than its factorization.

379506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 379506240 is about 19480.9198961445. The cubic root of 379506240 is about 724.0017907427.

The spelling of 379506240 in words is "three hundred seventy-nine million, five hundred six thousand, two hundred forty".