225797460 has 96 divisors (see below), whose sum is σ = 726485760. Its totient is φ = 51330048.

The previous prime is 225797441. The next prime is 225797461. The reversal of 225797460 is 64797522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225797461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81376 + ... + 84104.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2^225797460 is an apocalyptic number.

225797460 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 225797460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

225797460 is an abundant number, since it is smaller than the sum of its proper divisors (500688300).

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

225797460 is a wasteful number, since it uses less digits than its factorization.

225797460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 225797460 is about 15026.5584882234. The cubic root of 225797460 is about 608.9379171562.

The spelling of 225797460 in words is "two hundred twenty-five million, seven hundred ninety-seven thousand, four hundred sixty".