224979462400 has 675 divisors, whose sum is σ = 714589173305. Its totient is φ = 70123468800.

The previous prime is 224979462377. The next prime is 224979462469. The reversal of 224979462400 is 4264979422.

The square root of 224979462400 is 474320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80992606464 + 143986855936 = 284592^2 + 379456^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 20452678395 + ... + 20452678405.

Almost surely, 2^224979462400 is an apocalyptic number.

224979462400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

224979462400 is the 474320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224979462400

224979462400 is an abundant number, since it is smaller than the sum of its proper divisors (489609710905).

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

224979462400 is an frugal number, since it uses more digits than its factorization.

224979462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 224979462400 by its sum of digits (49), we get a square (11023993657600 = 3320240²).

224979462400 divided by its sum of digits (49) gives a square (4591417600 = 67760²).

The spelling of 224979462400 in words is "two hundred twenty-four billion, nine hundred seventy-nine million, four hundred sixty-two thousand, four hundred".