283345920 has 528 divisors, whose sum is σ = 1180251072. Its totient is φ = 61931520.

The previous prime is 283345871. The next prime is 283345949. The reversal of 283345920 is 29543382.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6589419 + ... + 6589461.

It is an arithmetic number, because the mean of its divisors is an integer number (2235324).

Almost surely, 2^283345920 is an apocalyptic number.

283345920 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 283345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590125536).

283345920 is an abundant number, since it is smaller than the sum of its proper divisors (896905152).

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

283345920 is a wasteful number, since it uses less digits than its factorization.

283345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 283345920 is about 16832.8821061635. The cubic root of 283345920 is about 656.8088377213.

The spelling of 283345920 in words is "two hundred eighty-three million, three hundred forty-five thousand, nine hundred twenty".