42461172 has 120 divisors (see below), whose sum is σ = 126785736. Its totient is φ = 12275712.

The previous prime is 42461147. The next prime is 42461173. The reversal of 42461172 is 27116424.

42461172 is a `hidden beast` number, since 42 + 4 + 611 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6533136 + 35928036 = 2556^2 + 5994^2 .

It is a super-2 number, since 2×42461172² = 3605902255227168, which contains 22 as substring.

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 (42461173) 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, 71308 + ... + 71900.

Almost surely, 2^42461172 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 42461172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63392868).

42461172 is an abundant number, since it is smaller than the sum of its proper divisors (84324564).

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

42461172 is a wasteful number, since it uses less digits than its factorization.

42461172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42461172 is about 6516.2237530643. The cubic root of 42461172 is about 348.8702949568.

Adding to 42461172 its reverse (27116424), we get a palindrome (69577596).

The spelling of 42461172 in words is "forty-two million, four hundred sixty-one thousand, one hundred seventy-two".