42456150 has 120 divisors (see below), whose sum is σ = 128824344. Its totient is φ = 10281600.

The previous prime is 42456149. The next prime is 42456151. The reversal of 42456150 is 5165424.

42456150 is a `hidden beast` number, since 4 + 2 + 45 + 615 + 0 = 666.

42456150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42456149) and next prime (42456151).

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 (42456151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44074 + ... + 45026.

Almost surely, 2^42456150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42456150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64412172).

42456150 is an abundant number, since it is smaller than the sum of its proper divisors (86368194).

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

42456150 is a wasteful number, since it uses less digits than its factorization.

42456150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42456150 is about 6515.8383957861. The cubic root of 42456150 is about 348.8565404636.

The spelling of 42456150 in words is "forty-two million, four hundred fifty-six thousand, one hundred fifty".