379005440 has 160 divisors (see below), whose sum is σ = 1017631296. Its totient is φ = 134184960.

The previous prime is 379005433. The next prime is 379005443. The reversal of 379005440 is 44500973.

379005440 = T₂₉₆ + T₂₉₇ + ... + T₁₃₁₉.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 379005397 and 379005406.

It is not an unprimeable number, because it can be changed into a prime (379005443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210724 + ... + 1211036.

Almost surely, 2^379005440 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 379005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508815648).

379005440 is an abundant number, since it is smaller than the sum of its proper divisors (638625856).

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

379005440 is a wasteful number, since it uses less digits than its factorization.

379005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 379005440 is about 19468.0620504456. The cubic root of 379005440 is about 723.6831840343.

The spelling of 379005440 in words is "three hundred seventy-nine million, five thousand, four hundred forty".