42688485 has 64 divisors (see below), whose sum is σ = 87552000. Its totient is φ = 19331136.

The previous prime is 42688463. The next prime is 42688487. The reversal of 42688485 is 58488624.

It is not a de Polignac number, because 42688485 - 2⁸ = 42688229 is a prime.

It is a super-3 number, since 3×42688485³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42688485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42688487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187942 + ... + 188168.

It is an arithmetic number, because the mean of its divisors is an integer number (1368000).

Almost surely, 2^42688485 is an apocalyptic number.

42688485 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42688485 is an abundant number, since it is smaller than the sum of its proper divisors (44863515).

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

42688485 is a wasteful number, since it uses less digits than its factorization.

42688485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 42688485 is about 6533.6425522062. The cubic root of 42688485 is about 349.4917384626.

The spelling of 42688485 in words is "forty-two million, six hundred eighty-eight thousand, four hundred eighty-five".