379524240 has 120 divisors (see below), whose sum is σ = 1341699840. Its totient is φ = 95876352.

The previous prime is 379524209. The next prime is 379524287. The reversal of 379524240 is 42425973.

379524240 is a `hidden beast` number, since 379 + 5 + 242 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 379524195 and 379524204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192 + ... + 27551.

It is an arithmetic number, because the mean of its divisors is an integer number (11180832).

Almost surely, 2^379524240 is an apocalyptic number.

379524240 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 379524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670849920).

379524240 is an abundant number, since it is smaller than the sum of its proper divisors (962175600).

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

379524240 is a wasteful number, since it uses less digits than its factorization.

379524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27781 (or 27772 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 379524240 is about 19481.3818811705. The cubic root of 379524240 is about 724.0132370422.

The spelling of 379524240 in words is "three hundred seventy-nine million, five hundred twenty-four thousand, two hundred forty".