225419040 has 576 divisors, whose sum is σ = 1018967040. Its totient is φ = 43960320.

The previous prime is 225419039. The next prime is 225419053. The reversal of 225419040 is 40914522.

It is a junction number, because it is equal to n+sod(n) for n = 225418995 and 225419013.

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, 2106667 + ... + 2106773.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^225419040 is an apocalyptic number.

225419040 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 225419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509483520).

225419040 is an abundant number, since it is smaller than the sum of its proper divisors (793548000).

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

225419040 is a wasteful number, since it uses less digits than its factorization.

225419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225419040 is about 15013.9615025482. The cubic root of 225419040 is about 608.5975484959.

The spelling of 225419040 in words is "two hundred twenty-five million, four hundred nineteen thousand, forty".