379872240 has 240 divisors, whose sum is σ = 1317249024. Its totient is φ = 90478080.

The previous prime is 379872197. The next prime is 379872281. The reversal of 379872240 is 42278973.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 379872192 and 379872201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2991057 + ... + 2991183.

Almost surely, 2^379872240 is an apocalyptic number.

379872240 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 379872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658624512).

379872240 is an abundant number, since it is smaller than the sum of its proper divisors (937376784).

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

379872240 is a wasteful number, since it uses less digits than its factorization.

379872240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 379872240 is about 19490.3114392767. The cubic root of 379872240 is about 724.2344610639.

The spelling of 379872240 in words is "three hundred seventy-nine million, eight hundred seventy-two thousand, two hundred forty".