42488712 has 320 divisors, whose sum is σ = 156816000. Its totient is φ = 10450944.

The previous prime is 42488707. The next prime is 42488713. The reversal of 42488712 is 21788424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42488713) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1465114 + ... + 1465142.

It is an arithmetic number, because the mean of its divisors is an integer number (490050).

Almost surely, 2^42488712 is an apocalyptic number.

42488712 is a gapful number since it is divisible by the number (42) 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 42488712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78408000).

42488712 is an abundant number, since it is smaller than the sum of its proper divisors (114327288).

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

42488712 is a wasteful number, since it uses less digits than its factorization.

42488712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42488712 is about 6518.3365976298. The cubic root of 42488712 is about 348.9457035478.

The spelling of 42488712 in words is "forty-two million, four hundred eighty-eight thousand, seven hundred twelve".