225450086400 has 1560 divisors, whose sum is σ = 1044139402944. Its totient is φ = 46714060800.

The previous prime is 225450086363. The next prime is 225450086401. The reversal of 225450086400 is 4680054522.

It is a happy number.

225450086400 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 5 + 0 + 0 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225450086401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 638668624 + ... + 638668976.

Almost surely, 2^225450086400 is an apocalyptic number.

225450086400 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 225450086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522069701472).

225450086400 is an abundant number, since it is smaller than the sum of its proper divisors (818689316544).

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

225450086400 is a wasteful number, since it uses less digits than its factorization.

225450086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

It can be divided in two parts, 2254500 and 86400, that added together give a square (2340900 = 1530²).

The spelling of 225450086400 in words is "two hundred twenty-five billion, four hundred fifty million, eighty-six thousand, four hundred".