225378432 has 96 divisors (see below), whose sum is σ = 669576960. Its totient is φ = 72691200.

The previous prime is 225378421. The next prime is 225378451. The reversal of 225378432 is 234873522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×225378432³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32557 + ... + 38867.

It is an arithmetic number, because the mean of its divisors is an integer number (6974760).

Almost surely, 2^225378432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334788480).

225378432 is an abundant number, since it is smaller than the sum of its proper divisors (444198528).

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

225378432 is a wasteful number, since it uses less digits than its factorization.

225378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6347 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 225378432 is about 15012.6091003529. The cubic root of 225378432 is about 608.5610011344.

The spelling of 225378432 in words is "two hundred twenty-five million, three hundred seventy-eight thousand, four hundred thirty-two".