225410460 has 96 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 54378240.

The previous prime is 225410447. The next prime is 225410473. The reversal of 225410460 is 64014522.

It is an interprime number because it is at equal distance from previous prime (225410447) and next prime (225410473).

It is a self number, because there is not a number n which added to its sum of digits gives 225410460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157026 + ... + 158454.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^225410460 is an apocalyptic number.

225410460 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 225410460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

225410460 is an abundant number, since it is smaller than the sum of its proper divisors (466480740).

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

225410460 is a wasteful number, since it uses less digits than its factorization.

225410460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 225410460 is about 15013.6757657810. The cubic root of 225410460 is about 608.5898268275.

Adding to 225410460 its reverse (64014522), we get a palindrome (289424982).

The spelling of 225410460 in words is "two hundred twenty-five million, four hundred ten thousand, four hundred sixty".