378470400 has 408 divisors, whose sum is σ = 1560269184. Its totient is φ = 78643200.

The previous prime is 378470381. The next prime is 378470401. The reversal of 378470400 is 4074873.

It is a happy number.

378470400 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378470401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34406395 + ... + 34406405.

Almost surely, 2^378470400 is an apocalyptic number.

378470400 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 378470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780134592).

378470400 is an abundant number, since it is smaller than the sum of its proper divisors (1181798784).

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

378470400 is an equidigital number, since it uses as much as digits as its factorization.

378470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 378470400 is about 19454.3157165704. The cubic root of 378470400 is about 723.3424837387.

The spelling of 378470400 in words is "three hundred seventy-eight million, four hundred seventy thousand, four hundred".