42466032 has 200 divisors, whose sum is σ = 145958912. Its totient is φ = 11664000.

The previous prime is 42466019. The next prime is 42466033. The reversal of 42466032 is 23066424.

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

It is a junction number, because it is equal to n+sod(n) for n = 42465987 and 42466005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42466033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281157 + ... + 281307.

Almost surely, 2^42466032 is an apocalyptic number.

42466032 is a gapful number since it is divisible by the number (42) 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 42466032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72979456).

42466032 is an abundant number, since it is smaller than the sum of its proper divisors (103492880).

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

42466032 is a wasteful number, since it uses less digits than its factorization.

42466032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42466032 is about 6516.5966577655. The cubic root of 42466032 is about 348.8836047240.

The spelling of 42466032 in words is "forty-two million, four hundred sixty-six thousand, thirty-two".