225535464 has 192 divisors, whose sum is σ = 806682240. Its totient is φ = 55111680.

The previous prime is 225535433. The next prime is 225535477. The reversal of 225535464 is 464535522.

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 47 ways as a sum of consecutive naturals, for example, 93052 + ... + 95444.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^225535464 is an apocalyptic number.

225535464 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 225535464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

225535464 is an abundant number, since it is smaller than the sum of its proper divisors (581146776).

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

225535464 is a wasteful number, since it uses less digits than its factorization.

225535464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2433 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 225535464 is about 15017.8381932953. The cubic root of 225535464 is about 608.7023062337.

The spelling of 225535464 in words is "two hundred twenty-five million, five hundred thirty-five thousand, four hundred sixty-four".