378462240 has 384 divisors, whose sum is σ = 1493614080. Its totient is φ = 88805376.

The previous prime is 378462193. The next prime is 378462257. The reversal of 378462240 is 42264873.

378462240 is a `hidden beast` number, since 378 + 46 + 2 + 240 = 666.

378462240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 378462195 and 378462204.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1291534 + ... + 1291826.

It is an arithmetic number, because the mean of its divisors is an integer number (3889620).

Almost surely, 2^378462240 is an apocalyptic number.

378462240 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 378462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746807040).

378462240 is an abundant number, since it is smaller than the sum of its proper divisors (1115151840).

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

378462240 is a wasteful number, since it uses less digits than its factorization.

378462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 378462240 is about 19454.1059933372. The cubic root of 378462240 is about 723.3372851665.

The spelling of 378462240 in words is "three hundred seventy-eight million, four hundred sixty-two thousand, two hundred forty".