42484960 has 72 divisors (see below), whose sum is σ = 116779320. Its totient is φ = 14563584.

The previous prime is 42484919. The next prime is 42484997. The reversal of 42484960 is 6948424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5131 + ... + 10549.

It is an arithmetic number, because the mean of its divisors is an integer number (1621935).

Almost surely, 2^42484960 is an apocalyptic number.

42484960 is a gapful number since it is divisible by the number (40) 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 42484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58389660).

42484960 is an abundant number, since it is smaller than the sum of its proper divisors (74294360).

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

42484960 is a wasteful number, since it uses less digits than its factorization.

42484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5433 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 42484960 is about 6518.0487877892. The cubic root of 42484960 is about 348.9354319348.

The spelling of 42484960 in words is "forty-two million, four hundred eighty-four thousand, nine hundred sixty".