42354312 has 256 divisors, whose sum is σ = 149022720. Its totient is φ = 9676800.

The previous prime is 42354311. The next prime is 42354317. The reversal of 42354312 is 21345324.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (2880) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (42354311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 984963 + ... + 985005.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 2^42354312 is an apocalyptic number.

42354312 is a gapful number since it is divisible by the number (42) 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 42354312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

42354312 is an abundant number, since it is smaller than the sum of its proper divisors (106668408).

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

42354312 is a wasteful number, since it uses less digits than its factorization.

42354312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 42354312 is about 6508.0190534448. The cubic root of 42354312 is about 348.5773873772.

Adding to 42354312 its reverse (21345324), we get a palindrome (63699636).

The spelling of 42354312 in words is "forty-two million, three hundred fifty-four thousand, three hundred twelve".