223457480438400 has 3456 divisors, whose sum is σ = 932716521696960. Its totient is φ = 52500765081600.

The previous prime is 223457480438377. The next prime is 223457480438417. The reversal of 223457480438400 is 4834084754322.

223457480438400 is a `hidden beast` number, since 2 + 2 + 3 + 45 + 7 + 480 + 43 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 927209462280 + ... + 927209462520.

Almost surely, 2^{223457480438400} is an apocalyptic number.

223457480438400 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 223457480438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466358260848480).

223457480438400 is an abundant number, since it is smaller than the sum of its proper divisors (709259041258560).

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

223457480438400 is a wasteful number, since it uses less digits than its factorization.

223457480438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 223457480438400 in words is "two hundred twenty-three trillion, four hundred fifty-seven billion, four hundred eighty million, four hundred thirty-eight thousand, four hundred".