42754960 has 80 divisors (see below), whose sum is σ = 103493376. Its totient is φ = 16415744.

The previous prime is 42754937. The next prime is 42754963. The reversal of 42754960 is 6945724.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42754963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312012 + ... + 312148.

Almost surely, 2^42754960 is an apocalyptic number.

42754960 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 42754960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51746688).

42754960 is an abundant number, since it is smaller than the sum of its proper divisors (60738416).

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

42754960 is a wasteful number, since it uses less digits than its factorization.

42754960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 42754960 is about 6538.7277049897. The cubic root of 42754960 is about 349.6730552311.

The spelling of 42754960 in words is "forty-two million, seven hundred fifty-four thousand, nine hundred sixty".