225403776 has 256 divisors, whose sum is σ = 745416000. Its totient is φ = 66576384.

The previous prime is 225403729. The next prime is 225403793. The reversal of 225403776 is 677304522.

It is a happy number.

225403776 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225403776.

It is a congruent number.

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, 1302826 + ... + 1302998.

Almost surely, 2^225403776 is an apocalyptic number.

225403776 is a gapful number since it is divisible by the number (26) 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 225403776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372708000).

225403776 is an abundant number, since it is smaller than the sum of its proper divisors (520012224).

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

225403776 is a wasteful number, since it uses less digits than its factorization.

225403776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 225403776 is about 15013.4531670765. The cubic root of 225403776 is about 608.5838113500.

The spelling of 225403776 in words is "two hundred twenty-five million, four hundred three thousand, seven hundred seventy-six".