283540320 has 288 divisors, whose sum is σ = 1154829312. Its totient is φ = 61940736.

The previous prime is 283540307. The next prime is 283540321. The reversal of 283540320 is 23045382.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×283540320² = 160790226131404800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283540321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231229 + ... + 232451.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 2^283540320 is an apocalyptic number.

283540320 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 283540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577414656).

283540320 is an abundant number, since it is smaller than the sum of its proper divisors (871288992).

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

283540320 is a wasteful number, since it uses less digits than its factorization.

283540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 283540320 is about 16838.6555282778. The cubic root of 283540320 is about 656.9590127541.

The spelling of 283540320 in words is "two hundred eighty-three million, five hundred forty thousand, three hundred twenty".