200319480 has 192 divisors, whose sum is σ = 694643040. Its totient is φ = 51881472.

The previous prime is 200319479. The next prime is 200319491. The reversal of 200319480 is 84913002.

200319480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359362 + ... + 359918.

Almost surely, 2^200319480 is an apocalyptic number.

200319480 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 200319480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347321520).

200319480 is an abundant number, since it is smaller than the sum of its proper divisors (494323560).

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

200319480 is a wasteful number, since it uses less digits than its factorization.

200319480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 200319480 is about 14153.4264402653. The cubic root of 200319480 is about 585.1147703813.

The spelling of 200319480 in words is "two hundred million, three hundred nineteen thousand, four hundred eighty".