283604040 has 96 divisors (see below), whose sum is σ = 923902200. Its totient is φ = 75448320.

The previous prime is 283604023. The next prime is 283604059. The reversal of 283604040 is 40406382.

It can be written as a sum of positive squares in 4 ways, for example, as 280428516 + 3175524 = 16746^2 + 1782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 283603995 and 283604013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230146 + ... + 231374.

Almost surely, 2^283604040 is an apocalyptic number.

283604040 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 283604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461951100).

283604040 is an abundant number, since it is smaller than the sum of its proper divisors (640298160).

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

283604040 is a wasteful number, since it uses less digits than its factorization.

283604040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 283604040 is about 16840.5474970382. The cubic root of 283604040 is about 657.0082218552.

It can be divided in two parts, 28360 and 4040, that added together give a square (32400 = 180²).

The spelling of 283604040 in words is "two hundred eighty-three million, six hundred four thousand, forty".