379448160 has 576 divisors, whose sum is σ = 1607159232. Its totient is φ = 74317824.

The previous prime is 379448159. The next prime is 379448171. The reversal of 379448160 is 61844973.

It is a super-2 number, since 2×379448160² = 287961812254771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5197884 + ... + 5197956.

It is an arithmetic number, because the mean of its divisors is an integer number (2790207).

Almost surely, 2^379448160 is an apocalyptic number.

379448160 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 379448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803579616).

379448160 is an abundant number, since it is smaller than the sum of its proper divisors (1227711072).

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

379448160 is a wasteful number, since it uses less digits than its factorization.

379448160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 379448160 is about 19479.4291497467. The cubic root of 379448160 is about 723.9648548816.

The spelling of 379448160 in words is "three hundred seventy-nine million, four hundred forty-eight thousand, one hundred sixty".