225978960 has 160 divisors (see below), whose sum is σ = 750701952. Its totient is φ = 56033280.

The previous prime is 225978941. The next prime is 225978967. The reversal of 225978960 is 69879522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225978967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395475 + ... + 396045.

Almost surely, 2^225978960 is an apocalyptic number.

225978960 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 225978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375350976).

225978960 is an abundant number, since it is smaller than the sum of its proper divisors (524722992).

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

225978960 is a wasteful number, since it uses less digits than its factorization.

225978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 225978960 is about 15032.5965820945. The cubic root of 225978960 is about 609.1010318224.

The spelling of 225978960 in words is "two hundred twenty-five million, nine hundred seventy-eight thousand, nine hundred sixty".