42680484 has 144 divisors (see below), whose sum is σ = 136805760. Its totient is φ = 10897920.

The previous prime is 42680483. The next prime is 42680501. The reversal of 42680484 is 48408624.

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

It is not an unprimeable number, because it can be changed into a prime (42680483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246622 + ... + 246794.

It is an arithmetic number, because the mean of its divisors is an integer number (950040).

Almost surely, 2^42680484 is an apocalyptic number.

42680484 is a gapful number since it is divisible by the number (44) 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 42680484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68402880).

42680484 is an abundant number, since it is smaller than the sum of its proper divisors (94125276).

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

42680484 is a wasteful number, since it uses less digits than its factorization.

42680484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42680484 is about 6533.0302310643. The cubic root of 42680484 is about 349.4699022999.

The spelling of 42680484 in words is "forty-two million, six hundred eighty thousand, four hundred eighty-four".