282299040 has 192 divisors, whose sum is σ = 999371520. Its totient is φ = 74419200.

The previous prime is 282299027. The next prime is 282299047. The reversal of 282299040 is 40992282.

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

It is a junction number, because it is equal to n+sod(n) for n = 282298986 and 282299004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282299047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435997 + ... + 436643.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2^282299040 is an apocalyptic number.

282299040 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 282299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499685760).

282299040 is an abundant number, since it is smaller than the sum of its proper divisors (717072480).

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

282299040 is a wasteful number, since it uses less digits than its factorization.

282299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 282299040 is about 16801.7570509754. The cubic root of 282299040 is about 655.9989341644.

The spelling of 282299040 in words is "two hundred eighty-two million, two hundred ninety-nine thousand, forty".