42456960 has 448 divisors, whose sum is σ = 187296480. Its totient is φ = 8957952.

The previous prime is 42456943. The next prime is 42456961. The reversal of 42456960 is 6965424.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42456961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265914 + ... + 3265926.

Almost surely, 2^42456960 is an apocalyptic number.

42456960 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 42456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93648240).

42456960 is an abundant number, since it is smaller than the sum of its proper divisors (144839520).

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

42456960 is an equidigital number, since it uses as much as digits as its factorization.

42456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42456960 is about 6515.9005517273. The cubic root of 42456960 is about 348.8587590036.

The spelling of 42456960 in words is "forty-two million, four hundred fifty-six thousand, nine hundred sixty".