225598464 has 264 divisors, whose sum is σ = 804716640. Its totient is φ = 59277312.

The previous prime is 225598411. The next prime is 225598469. The reversal of 225598464 is 464895522.

225598464 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-3 number, since 3×225598464³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225598469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838522 + ... + 838790.

Almost surely, 2^225598464 is an apocalyptic number.

225598464 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 225598464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402358320).

225598464 is an abundant number, since it is smaller than the sum of its proper divisors (579118176).

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

225598464 is a wasteful number, since it uses less digits than its factorization.

225598464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 225598464 is about 15019.9355524583. The cubic root of 225598464 is about 608.7589782894.

The spelling of 225598464 in words is "two hundred twenty-five million, five hundred ninety-eight thousand, four hundred sixty-four".