42249220 has 48 divisors (see below), whose sum is σ = 97796160. Its totient is φ = 15232896.

The previous prime is 42249173. The next prime is 42249239. The reversal of 42249220 is 2294224.

42249220 = 774² + 775² + ... + 838².

It is a happy 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, 9291 + ... + 13069.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 2^42249220 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 42249220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48898080).

42249220 is an abundant number, since it is smaller than the sum of its proper divisors (55546940).

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

42249220 is a wasteful number, since it uses less digits than its factorization.

42249220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 42249220 is about 6499.9399997231. The cubic root of 42249220 is about 348.2888450518.

The spelling of 42249220 in words is "forty-two million, two hundred forty-nine thousand, two hundred twenty".