379585440 has 288 divisors, whose sum is σ = 1448568576. Its totient is φ = 93312000.

The previous prime is 379585433. The next prime is 379585447. The reversal of 379585440 is 44585973.

It is an interprime number because it is at equal distance from previous prime (379585433) and next prime (379585447).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (379585447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505065 + ... + 505815.

It is an arithmetic number, because the mean of its divisors is an integer number (5029752).

Almost surely, 2^379585440 is an apocalyptic number.

379585440 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 379585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724284288).

379585440 is an abundant number, since it is smaller than the sum of its proper divisors (1068983136).

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

379585440 is a wasteful number, since it uses less digits than its factorization.

379585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 379585440 is about 19482.9525483177. The cubic root of 379585440 is about 724.0521517534.

The spelling of 379585440 in words is "three hundred seventy-nine million, five hundred eighty-five thousand, four hundred forty".