282420040 has 64 divisors (see below), whose sum is σ = 739964160. Its totient is φ = 94997760.

The previous prime is 282419959. The next prime is 282420041. The reversal of 282420040 is 40024282.

It is a super-2 number, since 2×282420040² = 159522157987203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 282419993 and 282420020.

It is not an unprimeable number, because it can be changed into a prime (282420041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5325 + ... + 24355.

It is an arithmetic number, because the mean of its divisors is an integer number (11561940).

Almost surely, 2^282420040 is an apocalyptic number.

282420040 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 282420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369982080).

282420040 is an abundant number, since it is smaller than the sum of its proper divisors (457544120).

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

282420040 is a wasteful number, since it uses less digits than its factorization.

282420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19102 (or 19098 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 282420040 is about 16805.3574790898. The cubic root of 282420040 is about 656.0926462944.

The spelling of 282420040 in words is "two hundred eighty-two million, four hundred twenty thousand, forty".