42952560 has 160 divisors (see below), whose sum is σ = 156513792. Its totient is φ = 9538560.

The previous prime is 42952519. The next prime is 42952603. The reversal of 42952560 is 6525924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61815 + ... + 62505.

Almost surely, 2^42952560 is an apocalyptic number.

42952560 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 42952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78256896).

42952560 is an abundant number, since it is smaller than the sum of its proper divisors (113561232).

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

42952560 is a wasteful number, since it uses less digits than its factorization.

42952560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 42952560 is about 6553.8202599705. The cubic root of 42952560 is about 350.2109204865.

The spelling of 42952560 in words is "forty-two million, nine hundred fifty-two thousand, five hundred sixty".