42784000 has 144 divisors (see below), whose sum is σ = 122443776. Its totient is φ = 14592000.

The previous prime is 42783977. The next prime is 42784013. The reversal of 42784000 is 48724.

It is a hoax number, since the sum of its digits (25) 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 (25).

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, 223905 + ... + 224095.

It is an arithmetic number, because the mean of its divisors is an integer number (850304).

Almost surely, 2^42784000 is an apocalyptic number.

42784000 is a gapful number since it is divisible by the number (40) 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 42784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61221888).

42784000 is an abundant number, since it is smaller than the sum of its proper divisors (79659776).

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

42784000 is an equidigital number, since it uses as much as digits as its factorization.

42784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 42784000 is about 6540.9479435323. The cubic root of 42784000 is about 349.7522055593.

The spelling of 42784000 in words is "forty-two million, seven hundred eighty-four thousand".