225466920 has 384 divisors, whose sum is σ = 936748800. Its totient is φ = 45785088.

The previous prime is 225466889. The next prime is 225466933. The reversal of 225466920 is 29664522.

225466920 is a `hidden beast` number, since 22 + 546 + 6 + 92 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 813822 + ... + 814098.

It is an arithmetic number, because the mean of its divisors is an integer number (2439450).

Almost surely, 2^225466920 is an apocalyptic number.

225466920 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 225466920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468374400).

225466920 is an abundant number, since it is smaller than the sum of its proper divisors (711281880).

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

225466920 is a wasteful number, since it uses less digits than its factorization.

225466920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 225466920 is about 15015.5559337642. Note that the first 3 decimals coincide. The cubic root of 225466920 is about 608.6406350481.

The spelling of 225466920 in words is "two hundred twenty-five million, four hundred sixty-six thousand, nine hundred twenty".