42353000 has 64 divisors (see below), whose sum is σ = 101621520. Its totient is φ = 16512000.

The previous prime is 42352949. The next prime is 42353009. The reversal of 42353000 is 35324.

It can be written as a sum of positive squares in 8 ways, for example, as 1623076 + 40729924 = 1274^2 + 6382^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42353000.

It is not an unprimeable number, because it can be changed into a prime (42353009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40484 + ... + 41516.

Almost surely, 2^42353000 is an apocalyptic number.

42353000 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 42353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50810760).

42353000 is an abundant number, since it is smaller than the sum of its proper divisors (59268520).

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

42353000 is a wasteful number, since it uses less digits than its factorization.

42353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 42353000 is about 6507.9182539427. The cubic root of 42353000 is about 348.5737880722.

Adding to 42353000 its reverse (35324), we get a palindrome (42388324).

The spelling of 42353000 in words is "forty-two million, three hundred fifty-three thousand".