379146240 has 468 divisors, whose sum is σ = 1529521812. Its totient is φ = 86507520.

The previous prime is 379146239. The next prime is 379146247. The reversal of 379146240 is 42641973.

379146240 is a `hidden beast` number, since 379 + 1 + 46 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 160579584 = 14784^2 + 12672^2 .

It is a super-2 number, since 2×379146240² = 287503742612275200, which contains 22 as substring.

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 = 379146195 and 379146204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379146247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22302712 + ... + 22302728.

It is an arithmetic number, because the mean of its divisors is an integer number (3268209).

Almost surely, 2^379146240 is an apocalyptic number.

379146240 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 379146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764760906).

379146240 is an abundant number, since it is smaller than the sum of its proper divisors (1150375572).

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

379146240 is a wasteful number, since it uses less digits than its factorization.

379146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 379146240 is about 19471.6778938026. The cubic root of 379146240 is about 723.7727887086.

The spelling of 379146240 in words is "three hundred seventy-nine million, one hundred forty-six thousand, two hundred forty".