378420 has 96 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 79872.

The previous prime is 378407. The next prime is 378439. The reversal of 378420 is 24873.

378420 = T₆₇ + T₆₈ + ... + T₁₃₆.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7114 + ... + 7166.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2³⁷⁸⁴²⁰ is an apocalyptic number.

378420 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 378420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

378420 is an abundant number, since it is smaller than the sum of its proper divisors (927948).

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

378420 is a wasteful number, since it uses less digits than its factorization.

378420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 378420 is about 615.1585161566. The cubic root of 378420 is about 72.3310373716.

The spelling of 378420 in words is "three hundred seventy-eight thousand, four hundred twenty".