225121464 has 64 divisors (see below), whose sum is σ = 627732000. Its totient is φ = 74753280.

The previous prime is 225121459. The next prime is 225121483. The reversal of 225121464 is 464121522.

225121464 is a `hidden beast` number, since 2 + 2 + 512 + 146 + 4 = 666.

225121464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58842 + ... + 62550.

Almost surely, 2^225121464 is an apocalyptic number.

225121464 is a gapful number since it is divisible by the number (24) 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 225121464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313866000).

225121464 is an abundant number, since it is smaller than the sum of its proper divisors (402610536).

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

225121464 is a wasteful number, since it uses less digits than its factorization.

225121464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3995 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 225121464 is about 15004.0482537214. The cubic root of 225121464 is about 608.3296270661.

Adding to 225121464 its reverse (464121522), we get a palindrome (689242986).

The spelling of 225121464 in words is "two hundred twenty-five million, one hundred twenty-one thousand, four hundred sixty-four".