378954240 has 480 divisors, whose sum is σ = 1511421120. Its totient is φ = 80510976.

The previous prime is 378954217. The next prime is 378954241. The reversal of 378954240 is 42459873.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 378954192 and 378954201.

It is not an unprimeable number, because it can be changed into a prime (378954241) 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, 7150054 + ... + 7150106.

It is an arithmetic number, because the mean of its divisors is an integer number (3148794).

Almost surely, 2^378954240 is an apocalyptic number.

378954240 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 378954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755710560).

378954240 is an abundant number, since it is smaller than the sum of its proper divisors (1132466880).

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

378954240 is a wasteful number, since it uses less digits than its factorization.

378954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 378954240 is about 19466.7470317976. The cubic root of 378954240 is about 723.6505950142.

The spelling of 378954240 in words is "three hundred seventy-eight million, nine hundred fifty-four thousand, two hundred forty".