42362000 has 80 divisors (see below), whose sum is σ = 104457600. Its totient is φ = 16611200.

The previous prime is 42361981. The next prime is 42362017. The reversal of 42362000 is 26324.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42362000.

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, 117821 + ... + 118179.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^42362000 is an apocalyptic number.

42362000 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 42362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52228800).

42362000 is an abundant number, since it is smaller than the sum of its proper divisors (62095600).

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

42362000 is a wasteful number, since it uses less digits than its factorization.

42362000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42362000 is about 6508.6096825666. The cubic root of 42362000 is about 348.5984769325.

Adding to 42362000 its reverse (26324), we get a palindrome (42388324).

The spelling of 42362000 in words is "forty-two million, three hundred sixty-two thousand".