42789456 has 60 divisors (see below), whose sum is σ = 120551808. Its totient is φ = 14167872.

The previous prime is 42789443. The next prime is 42789469. The reversal of 42789456 is 65498724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42789443) and next prime (42789469).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22561 + ... + 24383.

It is a vampire number, since it can be written as 5469 ⋅ 7824 (with its own digits).

Almost surely, 2^42789456 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 42789456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60275904).

42789456 is an abundant number, since it is smaller than the sum of its proper divisors (77762352).

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

42789456 is a wasteful number, since it uses less digits than its factorization.

42789456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1991 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42789456 is about 6541.3649951673. The cubic root of 42789456 is about 349.7670722300.

The spelling of 42789456 in words is "forty-two million, seven hundred eighty-nine thousand, four hundred fifty-six".