42480960 has 224 divisors, whose sum is σ = 151424640. Its totient is φ = 10027008.

The previous prime is 42480953. The next prime is 42480967. The reversal of 42480960 is 6908424.

It is an interprime number because it is at equal distance from previous prime (42480953) and next prime (42480967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42480967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310012 + ... + 310148.

Almost surely, 2^42480960 is an apocalyptic number.

42480960 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 42480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75712320).

42480960 is an abundant number, since it is smaller than the sum of its proper divisors (108943680).

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

42480960 is a wasteful number, since it uses less digits than its factorization.

42480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42480960 is about 6517.7419402735. The cubic root of 42480960 is about 348.9244807219.

The spelling of 42480960 in words is "forty-two million, four hundred eighty thousand, nine hundred sixty".