225729460 has 24 divisors (see below), whose sum is σ = 517126176. Its totient is φ = 82083360.

The previous prime is 225729421. The next prime is 225729461. The reversal of 225729460 is 64927522.

It is a happy number.

225729460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225729460² = 101907578223783200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225729461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512802 + ... + 513241.

It is an arithmetic number, because the mean of its divisors is an integer number (21546924).

Almost surely, 2^225729460 is an apocalyptic number.

225729460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225729460 is an abundant number, since it is smaller than the sum of its proper divisors (291396716).

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

225729460 is a wasteful number, since it uses less digits than its factorization.

225729460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026063 (or 1026061 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 225729460 is about 15024.2956573678. The cubic root of 225729460 is about 608.8767828167.

The spelling of 225729460 in words is "two hundred twenty-five million, seven hundred twenty-nine thousand, four hundred sixty".