200203448480 has 768 divisors, whose sum is σ = 623043477504. Its totient is φ = 59192770560.

The previous prime is 200203448443. The next prime is 200203448537. The reversal of 200203448480 is 84844302002.

It is a happy number.

It is a Cunningham number, because it is equal to 447441²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 200203448480.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1461338972 + ... + 1461339108.

It is an arithmetic number, because the mean of its divisors is an integer number (811254528).

Almost surely, 2^200203448480 is an apocalyptic number.

200203448480 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 200203448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311521738752).

200203448480 is an abundant number, since it is smaller than the sum of its proper divisors (422840029024).

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

200203448480 is a wasteful number, since it uses less digits than its factorization.

200203448480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The spelling of 200203448480 in words is "two hundred billion, two hundred three million, four hundred forty-eight thousand, four hundred eighty".