42577488 has 120 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 13830912.

The previous prime is 42577453. The next prime is 42577501. The reversal of 42577488 is 88477524.

It is a congruent number.

It is an unprimeable number.

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, 182620 + ... + 182852.

Almost surely, 2^42577488 is an apocalyptic number.

42577488 is a gapful number since it is divisible by the number (48) 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 42577488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

42577488 is an abundant number, since it is smaller than the sum of its proper divisors (84164400).

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

42577488 is a wasteful number, since it uses less digits than its factorization.

42577488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 42577488 is about 6525.1427570590. The cubic root of 42577488 is about 349.1885637662.

The spelling of 42577488 in words is "forty-two million, five hundred seventy-seven thousand, four hundred eighty-eight".