283639040 has 144 divisors (see below), whose sum is σ = 717223248. Its totient is φ = 107347968.

The previous prime is 283639001. The next prime is 283639061. The reversal of 283639040 is 40936382.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 861184 + 282777856 = 928^2 + 16816^2 .

It is a super-2 number, since 2×283639040² = 160902210024243200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2510024 + ... + 2510136.

It is an arithmetic number, because the mean of its divisors is an integer number (4980717).

Almost surely, 2^283639040 is an apocalyptic number.

283639040 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 283639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358611624).

283639040 is an abundant number, since it is smaller than the sum of its proper divisors (433584208).

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

283639040 is a wasteful number, since it uses less digits than its factorization.

283639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 283639040 is about 16841.5866235934. The cubic root of 283639040 is about 657.0352482002.

The spelling of 283639040 in words is "two hundred eighty-three million, six hundred thirty-nine thousand, forty".