42624225 has 120 divisors (see below), whose sum is σ = 94105088. Its totient is φ = 18662400.

The previous prime is 42624217. The next prime is 42624227. The reversal of 42624225 is 52242624.

It is a happy number.

It is not a de Polignac number, because 42624225 - 2³ = 42624217 is a prime.

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 (42624227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 439377 + ... + 439473.

Almost surely, 2^42624225 is an apocalyptic number.

42624225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42624225 is an abundant number, since it is smaller than the sum of its proper divisors (51480863).

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

42624225 is a wasteful number, since it uses less digits than its factorization.

42624225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 42624225 is about 6528.7230757630. The cubic root of 42624225 is about 349.3162842969.

Adding to 42624225 its reverse (52242624), we get a palindrome (94866849).

It can be divided in two parts, 42624 and 225, that added together give a square (42849 = 207²).

The spelling of 42624225 in words is "forty-two million, six hundred twenty-four thousand, two hundred twenty-five".