225477408 has 192 divisors, whose sum is σ = 691770240. Its totient is φ = 63700992.

The previous prime is 225477391. The next prime is 225477419. The reversal of 225477408 is 804774522.

225477408 is digitally balanced in base 3, 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877216 + ... + 877472.

It is an arithmetic number, because the mean of its divisors is an integer number (3602970).

Almost surely, 2^225477408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225477408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345885120).

225477408 is an abundant number, since it is smaller than the sum of its proper divisors (466292832).

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

225477408 is a wasteful number, since it uses less digits than its factorization.

225477408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 225477408 is about 15015.9051675215. The cubic root of 225477408 is about 608.6500722404.

The spelling of 225477408 in words is "two hundred twenty-five million, four hundred seventy-seven thousand, four hundred eight".