378450 has 54 divisors (see below), whose sum is σ = 1053039. Its totient is φ = 97440.

The previous prime is 378449. The next prime is 378463. The reversal of 378450 is 54873.

It can be written as a sum of positive squares in 5 ways, for example, as 145161 + 233289 = 381^2 + 483^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=435.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13036 + ... + 13064.

378450 is a Friedman number, since it can be written as 4350*87, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 435 ⋅ 870 (with its own digits).

2³⁷⁸⁴⁵⁰ is an apocalyptic number.

378450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378450

378450 is an abundant number, since it is smaller than the sum of its proper divisors (674589).

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

378450 is a wasteful number, since it uses less digits than its factorization.

378450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 378450 is about 615.1828996323. The cubic root of 378450 is about 72.3329487168.

It can be divided in two parts, 378 and 450, that added together give a palindrome (828).

The spelling of 378450 in words is "three hundred seventy-eight thousand, four hundred fifty".