282374400 has 432 divisors, whose sum is σ = 1167925248. Its totient is φ = 58368000.

The previous prime is 282374387. The next prime is 282374401. The reversal of 282374400 is 4473282.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (282374401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478305 + ... + 1478495.

Almost surely, 2^282374400 is an apocalyptic number.

282374400 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 282374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583962624).

282374400 is an abundant number, since it is smaller than the sum of its proper divisors (885550848).

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

282374400 is a wasteful number, since it uses less digits than its factorization.

282374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 282374400 is about 16803.9995239229. Note that the first 3 decimals coincide. The cubic root of 282374400 is about 656.0573021529.

The spelling of 282374400 in words is "two hundred eighty-two million, three hundred seventy-four thousand, four hundred".