42215904 has 144 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 13685760.

The previous prime is 42215903. The next prime is 42215911. The reversal of 42215904 is 40951224.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42215903) 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, 474292 + ... + 474380.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^42215904 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 42215904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

42215904 is an abundant number, since it is smaller than the sum of its proper divisors (85744656).

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

42215904 is an equidigital number, since it uses as much as digits as its factorization.

42215904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42215904 is about 6497.3767014080. The cubic root of 42215904 is about 348.1972722169.

The spelling of 42215904 in words is "forty-two million, two hundred fifteen thousand, nine hundred four".