225378000 has 240 divisors, whose sum is σ = 829857600. Its totient is φ = 56851200.

The previous prime is 225377987. The next prime is 225378001. The reversal of 225378000 is 873522.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225378001) 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, 341671 + ... + 342329.

It is an arithmetic number, because the mean of its divisors is an integer number (3457740).

Almost surely, 2^225378000 is an apocalyptic number.

225378000 is a gapful number since it is divisible by the number (20) 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 225378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414928800).

225378000 is an abundant number, since it is smaller than the sum of its proper divisors (604479600).

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

225378000 is a wasteful number, since it uses less digits than its factorization.

225378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 688 counting only the distinct ones).

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

The square root of 225378000 is about 15012.5947124406. The cubic root of 225378000 is about 608.5606123091.

It can be divided in two parts, 225 and 378000, that added together give a square (378225 = 615²).

The spelling of 225378000 in words is "two hundred twenty-five million, three hundred seventy-eight thousand".