42390656 has 192 divisors, whose sum is σ = 117210240. Its totient is φ = 14868480.

The previous prime is 42390629. The next prime is 42390659. The reversal of 42390656 is 65609324.

It is a super-2 number, since 2×42390656² = 3593935432220672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42390659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1843061 + ... + 1843083.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 2^42390656 is an apocalyptic number.

42390656 is a gapful number since it is divisible by the number (46) 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 42390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

42390656 is an abundant number, since it is smaller than the sum of its proper divisors (74819584).

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

42390656 is a wasteful number, since it uses less digits than its factorization.

42390656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 42390656 is about 6510.8107022091. The cubic root of 42390656 is about 348.6770629793.

The spelling of 42390656 in words is "forty-two million, three hundred ninety thousand, six hundred fifty-six".