282413376 has 168 divisors, whose sum is σ = 936711360. Its totient is φ = 79681536.

The previous prime is 282413357. The next prime is 282413381. The reversal of 282413376 is 673314282.

It is a happy number.

282413376 is a `hidden beast` number, since 282 + 4 + 1 + 3 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 282413376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358455 + ... + 359241.

Almost surely, 2^282413376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468355680).

282413376 is an abundant number, since it is smaller than the sum of its proper divisors (654297984).

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

282413376 is a wasteful number, since it uses less digits than its factorization.

282413376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 888 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 282413376 is about 16805.1592078147. The cubic root of 282413376 is about 656.0874858535.

The spelling of 282413376 in words is "two hundred eighty-two million, four hundred thirteen thousand, three hundred seventy-six".