283992480 has 240 divisors, whose sum is σ = 1062036360. Its totient is φ = 71221248.

The previous prime is 283992473. The next prime is 283992491. The reversal of 283992480 is 84299382.

283992480 is a `hidden beast` number, since 2 + 83 + 9 + 92 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 277822224 + 6170256 = 16668^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219676 + ... + 220964.

Almost surely, 2^283992480 is an apocalyptic number.

283992480 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 283992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531018180).

283992480 is an abundant number, since it is smaller than the sum of its proper divisors (778043880).

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

283992480 is a wasteful number, since it uses less digits than its factorization.

283992480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 283992480 is about 16852.0764299240. The cubic root of 283992480 is about 657.3080434497.

The spelling of 283992480 in words is "two hundred eighty-three million, nine hundred ninety-two thousand, four hundred eighty".