42505788 has 72 divisors (see below), whose sum is σ = 109985008. Its totient is φ = 12699648.

The previous prime is 42505787. The next prime is 42505819. The reversal of 42505788 is 88750524.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42505781) 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 23 ways as a sum of consecutive naturals, for example, 438156 + ... + 438252.

Almost surely, 2^42505788 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 42505788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54992504).

42505788 is an abundant number, since it is smaller than the sum of its proper divisors (67479220).

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

42505788 is a wasteful number, since it uses less digits than its factorization.

42505788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 42505788 is about 6519.6463094251. The cubic root of 42505788 is about 348.9924437955.

The spelling of 42505788 in words is "forty-two million, five hundred five thousand, seven hundred eighty-eight".