225390456 has 72 divisors (see below), whose sum is σ = 619182720. Its totient is φ = 74063808.

The previous prime is 225390439. The next prime is 225390457. The reversal of 225390456 is 654093522.

225390456 is a `hidden beast` number, since 225 + 390 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 225390456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225390457) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1435530 + ... + 1435686.

It is an arithmetic number, because the mean of its divisors is an integer number (8599760).

Almost surely, 2^225390456 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 225390456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309591360).

225390456 is an abundant number, since it is smaller than the sum of its proper divisors (393792264).

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

225390456 is a wasteful number, since it uses less digits than its factorization.

225390456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 225390456 is about 15013.0095583797. The cubic root of 225390456 is about 608.5718232397.

The spelling of 225390456 in words is "two hundred twenty-five million, three hundred ninety thousand, four hundred fifty-six".