225435432960 has 384 divisors, whose sum is σ = 803321064000. Its totient is φ = 59968585728.

The previous prime is 225435432823. The next prime is 225435432973. The reversal of 225435432960 is 69234534522.

225435432960 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 354 + 3 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×225435432960³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 157316404 + ... + 157317836.

Almost surely, 2^225435432960 is an apocalyptic number.

225435432960 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 225435432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401660532000).

225435432960 is an abundant number, since it is smaller than the sum of its proper divisors (577885631040).

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

225435432960 is a wasteful number, since it uses less digits than its factorization.

225435432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 225435432960 in words is "two hundred twenty-five billion, four hundred thirty-five million, four hundred thirty-two thousand, nine hundred sixty".