283201920 has 224 divisors, whose sum is σ = 1016752320. Its totient is φ = 75396096.

The previous prime is 283201909. The next prime is 283201927. The reversal of 283201920 is 29102382.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283201927) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466257 + ... + 466863.

Almost surely, 2^283201920 is an apocalyptic number.

283201920 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 283201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508376160).

283201920 is an abundant number, since it is smaller than the sum of its proper divisors (733550400).

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

283201920 is an frugal number, since it uses more digits than its factorization.

283201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 617 counting only the distinct ones).

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

The square root of 283201920 is about 16828.6042201960. The cubic root of 283201920 is about 656.6975526656.

The spelling of 283201920 in words is "two hundred eighty-three million, two hundred one thousand, nine hundred twenty".