221430452400 has 90 divisors (see below), whose sum is σ = 768425190780. Its totient is φ = 59048119680.

The previous prime is 221430452323. The next prime is 221430452423. The reversal of 221430452400 is 4254034122.

221430452400 is a `hidden beast` number, since 2 + 214 + 3 + 0 + 45 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30750630 + ... + 30757829.

Almost surely, 2^221430452400 is an apocalyptic number.

221430452400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221430452400 is an abundant number, since it is smaller than the sum of its proper divisors (546994738380).

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

221430452400 is a wasteful number, since it uses less digits than its factorization.

221430452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61508483 (or 61508469 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 221430452400 its reverse (4254034122), we get a palindrome (225684486522).

The spelling of 221430452400 in words is "two hundred twenty-one billion, four hundred thirty million, four hundred fifty-two thousand, four hundred".