42956784 has 80 divisors (see below), whose sum is σ = 132804000. Its totient is φ = 13215744.

The previous prime is 42956759. The next prime is 42956813. The reversal of 42956784 is 48765924.

It is a happy number.

42956784 is a `hidden beast` number, since 4 + 2 + 9 + 567 + 84 = 666.

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, 1792 + ... + 9440.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^42956784 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 42956784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66402000).

42956784 is an abundant number, since it is smaller than the sum of its proper divisors (89847216).

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

42956784 is a wasteful number, since it uses less digits than its factorization.

42956784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7679 (or 7667 counting only the distinct ones).

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

The square root of 42956784 is about 6554.1425068425. The cubic root of 42956784 is about 350.2224001472. Note that the first 3 decimals are identical.

The spelling of 42956784 in words is "forty-two million, nine hundred fifty-six thousand, seven hundred eighty-four".